diff --git a/DECISIONS.md b/DECISIONS.md
index fbea94e..f0c375a 100644
--- a/DECISIONS.md
+++ b/DECISIONS.md
@@ -717,3 +717,13 @@ Implementation decisions not spelled out in `memory-bank/implementation-plan.md`
 - **No background art means no background sprite**: the canvas's solid background color is the placeholder.
 - **Map height fixed:** the Map section used `100dvh − 7.5rem` and stopped 42 px above the nav, which showed as a dark band under the new art. It now uses the real header and nav heights (4.875rem plus the safe-area inset) and cancels the layout's 5rem scroll padding, so the page does not scroll.
 - **Screenshots** come from a scratchpad Playwright harness driving local Chrome against a separate dev stack (API 3125, web 5199). The Vite proxy target is now configurable (`API_PROXY_TARGET`, default `http://127.0.0.1:3000`) for that.
+
+## Step 10C.6
+
+- **The child offset angle is measured from the outward direction (Sun → parent on screen)**, not from screen right. With a fixed screen angle the Moon landed on the Sun whenever Earth was on the Sun's opposite side at phone width (seen in the first screenshot). The distance is still a fixed screen offset (decision 0.5.39), and the tests check the exact offset at several zooms and dates.
+- **Moon distance 46 px** (the style config draft said 30): at the largest sprite scale Earth and the Moon need (32 + 18) / 2 × 1.75 = 43.75 px to clear each other.
+- **Sprite scale = zoom ^ 0.35, clamped to 0.75–1.75** (new `spriteScale.zoomExponent`): sprites grow a little when zooming in and are about the same size at the default zoom.
+- **Scene anchors:** a child body's scene `point` is its parent's map point, and flights carry origin and destination ids. `layoutScene` adds the screen offset, so routes to and from the Moon end exactly at the drawn Moon. `locationMapPoint` (map-space Moon offset) is kept but no longer drawn.
+- **Labels and badges avoid collisions** with a small greedy pass: a label goes below its body, else above it if below hits another body or label; an idle badge takes the first clear diagonal. This handles Earth and the Moon and long names (Jupiter Cloud Platform next to Mars) without special cases.
+- **Tap targets** come from the same layout as drawing: each is a circle of the larger of the sprite size and 44 px. Ships still win ties.
+- **The idle badge sits just off the body's edge** (2 px, up-left by default) instead of a fixed distance from the centre, so it clears big bodies like Jupiter.
diff --git a/apps/web/src/map/hitTest.ts b/apps/web/src/map/hitTest.ts
index 7978427..84c89f4 100644
--- a/apps/web/src/map/hitTest.ts
+++ b/apps/web/src/map/hitTest.ts
@@ -1,16 +1,15 @@
-import { toScreen, type Camera, type Viewport } from "./camera";
+import type { Camera, Viewport } from "./camera";
+import { layoutScene } from "./layout";
 import type { MapPoint } from "./projection";
 import type { Scene } from "./scene";
 
 export type MapSelection =
   { kind: "location"; id: string } | { kind: "flight"; dispatchId: string };
 
-/** How close (screen pixels) a tap must be to a location or ship: about a fingertip. */
-export const TAP_RADIUS = 22;
-
 /**
- * What a tap at `tap` (screen pixels) selects: the nearest ship marker or
- * location within reach. Ships win ties, since they are drawn on top.
+ * What a tap at `tap` (screen pixels) selects: the nearest ship or location
+ * whose tap target (at least `minTapPx`, Step 10C.6) contains it, as laid out
+ * on screen. Ships win ties, since they are drawn on top.
  */
 export function hitTest(
   scene: Scene,
@@ -18,19 +17,19 @@ export function hitTest(
   viewport: Viewport,
   camera: Camera,
 ): MapSelection | null {
+  const layout = layoutScene(scene, viewport, camera);
   let best: { selection: MapSelection; distance: number } | null = null;
-  const consider = (point: MapPoint, selection: MapSelection, bias: number) => {
-    const p = toScreen(point, viewport, camera);
-    const distance = Math.hypot(p.x - tap.x, p.y - tap.y) - bias;
-    if (distance <= TAP_RADIUS && (!best || distance < best.distance)) {
-      best = { selection, distance };
+  const consider = (center: MapPoint, size: number, selection: MapSelection, bias: number) => {
+    const distance = Math.hypot(center.x - tap.x, center.y - tap.y);
+    if (distance <= size / 2 && (!best || distance - bias < best.distance)) {
+      best = { selection, distance: distance - bias };
     }
   };
-  for (const location of scene.locations) {
-    consider(location.point, { kind: "location", id: location.id }, 0);
+  for (const location of layout.locations) {
+    consider(location.center, location.tap, { kind: "location", id: location.id }, 0);
   }
-  for (const flight of scene.flights) {
-    consider(flight.marker, { kind: "flight", dispatchId: flight.dispatchId }, 4);
+  for (const flight of layout.flights) {
+    consider(flight.center, flight.tap, { kind: "flight", dispatchId: flight.dispatchId }, 4);
   }
   return (best as { selection: MapSelection } | null)?.selection ?? null;
 }
diff --git a/apps/web/src/map/layout.ts b/apps/web/src/map/layout.ts
index b41958e..6be917e 100644
--- a/apps/web/src/map/layout.ts
+++ b/apps/web/src/map/layout.ts
@@ -1,4 +1,6 @@
-import type { Camera, Viewport } from "./camera";
+import { toScreen, type Camera, type Viewport } from "./camera";
+import type { MapPoint } from "./projection";
+import type { Scene } from "./scene";
 import { mapStyle, type MapStyle } from "./style";
 
 /**
@@ -41,3 +43,197 @@ export function backgroundRect(
     height,
   };
 }
+
+/**
+ * Sprite size factor at a zoom (decision 0.5.38): sprites grow a little as the
+ * player zooms in and shrink a little as they zoom out, within the limits.
+ */
+export function spriteScale(zoom: number, style: MapStyle = mapStyle): number {
+  const { min, max, zoomExponent } = style.spriteScale;
+  return Math.min(max, Math.max(min, zoom ** zoomExponent));
+}
+
+/** A screen-space offset of `distance` px at `angleDeg` (clockwise from screen right). */
+export function polar(distance: number, angleDeg: number): MapPoint {
+  const a = (angleDeg * Math.PI) / 180;
+  return { x: Math.cos(a) * distance, y: Math.sin(a) * distance };
+}
+
+/**
+ * A child body's screen offset from its parent (decision 0.5.39): the
+ * configured distance, at the configured angle from the outward direction
+ * (Sun → parent on screen); zero for other locations.
+ */
+export function childOffset(
+  locationId: string,
+  parent: MapPoint,
+  sun: MapPoint,
+  style: MapStyle = mapStyle,
+): MapPoint {
+  const child = style.childOffsets[locationId];
+  if (!child) return { x: 0, y: 0 };
+  const dx = parent.x - sun.x;
+  const dy = parent.y - sun.y;
+  const outward = dx === 0 && dy === 0 ? 0 : (Math.atan2(dy, dx) * 180) / Math.PI;
+  return polar(child.distancePx, outward + child.angleDeg);
+}
+
+/** Base on-screen size (long side, px) of a sprite asset. */
+export function baseSpriteSize(assetId: string, style: MapStyle = mapStyle): number {
+  return style.spriteSizePx[assetId] ?? style.shipSizePx;
+}
+
+/** A tap target is the sprite's size, but never under the minimum (Step 10C.6). */
+export function tapSize(spriteSize: number, style: MapStyle = mapStyle): number {
+  return Math.max(style.minTapPx, spriteSize);
+}
+
+export interface BodyLayout {
+  center: MapPoint;
+  /** Drawn size, long side (px). */
+  size: number;
+  /** Tap target, square side (px). */
+  tap: number;
+}
+
+export interface LocationLayout extends BodyLayout {
+  id: string;
+}
+
+export interface FlightLayout {
+  dispatchId: string;
+  /** Route ends on screen, matching where the locations are drawn. */
+  from: MapPoint;
+  to: MapPoint;
+  center: MapPoint;
+  size: number;
+  tap: number;
+}
+
+export interface SceneLayout {
+  scale: number;
+  sun: BodyLayout;
+  locations: LocationLayout[];
+  flights: FlightLayout[];
+}
+
+const add = (a: MapPoint, b: MapPoint): MapPoint => ({ x: a.x + b.x, y: a.y + b.y });
+
+/** Where and how big everything in the scene is drawn on screen (CR-003). */
+export function layoutScene(
+  scene: Scene,
+  view: Viewport,
+  camera: Camera,
+  style: MapStyle = mapStyle,
+): SceneLayout {
+  const scale = spriteScale(camera.zoom, style);
+  const sunCenter = toScreen({ x: 0, y: 0 }, view, camera);
+  /** Screen point of a (possibly child) location whose anchor is at map point `point`. */
+  const drawn = (point: MapPoint, locationId: string | null): MapPoint => {
+    const anchor = toScreen(point, view, camera);
+    return locationId ? add(anchor, childOffset(locationId, anchor, sunCenter, style)) : anchor;
+  };
+  const body = (point: MapPoint, assetId: string, locationId: string | null): BodyLayout => {
+    const size = baseSpriteSize(assetId, style) * scale;
+    return { center: drawn(point, locationId), size, tap: tapSize(size, style) };
+  };
+  const shipSize = style.shipSizePx * scale;
+  return {
+    scale,
+    sun: body({ x: 0, y: 0 }, "sun", null),
+    locations: scene.locations.map((l) => ({ id: l.id, ...body(l.point, l.sprite, l.id) })),
+    flights: scene.flights.map((f) => {
+      const from = drawn(f.from, f.originId);
+      const to = drawn(f.to, f.destinationId);
+      return {
+        dispatchId: f.dispatchId,
+        from,
+        to,
+        center: {
+          x: from.x + (to.x - from.x) * f.progress,
+          y: from.y + (to.y - from.y) * f.progress,
+        },
+        size: shipSize,
+        tap: tapSize(shipSize, style),
+      };
+    }),
+  };
+}
+
+interface Box {
+  left: number;
+  top: number;
+  right: number;
+  bottom: number;
+}
+
+const overlaps = (a: Box, b: Box) =>
+  a.left < b.right && b.left < a.right && a.top < b.bottom && b.top < a.bottom;
+
+const square = (center: MapPoint, size: number): Box => ({
+  left: center.x - size / 2,
+  top: center.y - size / 2,
+  right: center.x + size / 2,
+  bottom: center.y + size / 2,
+});
+
+export interface Decoration {
+  /** Label anchor: top-centre when below the body (anchorY 0), bottom-centre when above (1). */
+  label: { x: number; y: number; anchorY: 0 | 1 };
+  /** Idle-ship badge centre. */
+  badge: MapPoint;
+}
+
+/**
+ * Places each location's label below its body, or above it when below would
+ * cover another body or an earlier label; then its idle-ship badge on the
+ * first diagonal clear of other bodies and the labels. `labelSize` measures a
+ * label.
+ */
+export function decorate(
+  layout: SceneLayout,
+  labelSize: (id: string) => { width: number; height: number },
+  style: MapStyle = mapStyle,
+): Map<string, Decoration> {
+  const bodies = [
+    { id: "sun", box: square(layout.sun.center, layout.sun.size) },
+    ...layout.locations.map((l) => ({ id: l.id, box: square(l.center, l.size) })),
+  ];
+  const labels: Box[] = [];
+  const clearOfBodies = (box: Box, ownId: string) =>
+    !bodies.some((b) => b.id !== ownId && overlaps(box, b.box));
+  const clearOfLabels = (box: Box) => !labels.some((l) => overlaps(box, l));
+
+  const placed = layout.locations.map((location) => {
+    const { width, height } = labelSize(location.id);
+    const { center, size } = location;
+    const gap = style.label.gapPx;
+    const below = { x: center.x, y: center.y + size / 2 + gap, anchorY: 0 as const };
+    const above = { x: center.x, y: center.y - size / 2 - gap, anchorY: 1 as const };
+    const boxOf = (l: { x: number; y: number; anchorY: 0 | 1 }): Box => ({
+      left: l.x - width / 2,
+      right: l.x + width / 2,
+      top: l.anchorY === 0 ? l.y : l.y - height,
+      bottom: l.anchorY === 0 ? l.y + height : l.y,
+    });
+    const label =
+      [below, above].find((l) => clearOfBodies(boxOf(l), location.id) && clearOfLabels(boxOf(l))) ??
+      below;
+    labels.push(boxOf(label));
+    return { location, label };
+  });
+
+  const result = new Map<string, Decoration>();
+  for (const { location, label } of placed) {
+    const { distancePx, angleDeg, radiusPx } = style.idleBadge;
+    const angles = [angleDeg, -180 - angleDeg, -angleDeg, 180 + angleDeg];
+    const spots = angles.map((a) => add(location.center, polar(location.size / 2 + distancePx, a)));
+    const badge =
+      spots.find((p) => {
+        const box = square(p, radiusPx * 2);
+        return clearOfBodies(box, location.id) && clearOfLabels(box);
+      }) ?? spots[0]!;
+    result.set(location.id, { label, badge });
+  }
+  return result;
+}
diff --git a/apps/web/src/map/renderer.ts b/apps/web/src/map/renderer.ts
index d18a0ad..e953025 100644
--- a/apps/web/src/map/renderer.ts
+++ b/apps/web/src/map/renderer.ts
@@ -2,18 +2,13 @@ import { Container, Graphics, Sprite, Text, type Texture } from "pixi.js";
 import type { ArtTextures } from "./art/load";
 import { sceneVisuals, type Visual } from "./art/visuals";
 import { toScreen, type Camera, type Viewport } from "./camera";
-import { backgroundRect } from "./layout";
+import { backgroundRect, decorate, layoutScene, polar } from "./layout";
 import type { MapPoint } from "./projection";
 import type { Scene } from "./scene";
 import { mapStyle } from "./style";
 
 const { colors } = mapStyle;
 
-/** Base on-screen size (long side, px) of a sprite asset. */
-function baseSize(assetId: string): number {
-  return mapStyle.spriteSizePx[assetId] ?? mapStyle.shipSizePx;
-}
-
 /** Fits a sprite's long side to `size` px, keeping its aspect ratio. */
 function fit(sprite: Sprite, size: number) {
   const { width, height } = sprite.texture;
@@ -21,9 +16,9 @@ function fit(sprite: Sprite, size: number) {
 }
 
 /**
- * Draws the map with PixiJS (Steps 10.1–10.2, CR-003). Sprites and text are
- * created once per item and updated every frame; code-drawn shapes go in a few
- * Graphics layers that are redrawn each frame.
+ * Draws the map with PixiJS (Steps 10.1–10.2, CR-003). Positions and sizes come
+ * from `layoutScene`; sprites and text are created once per item and updated
+ * every frame, and code-drawn shapes go in Graphics layers redrawn each frame.
  */
 export class MapRenderer {
   /** Non-tiled, parallax background (decision 0.5.40); absent if its art is missing. */
@@ -60,6 +55,7 @@ export class MapRenderer {
     return sprite;
   }
 
+  /** Draws `visual` as a sprite at `at`, or calls `placeholder` (decision 0.5.41). */
   private place(
     key: string,
     visual: Visual<Texture>,
@@ -67,16 +63,32 @@ export class MapRenderer {
     at: MapPoint,
     size: number,
     placeholder: () => void,
-  ) {
-    if (visual.kind === "placeholder") return placeholder();
+  ): Sprite | null {
+    if (visual.kind === "placeholder") {
+      placeholder();
+      return null;
+    }
     const sprite = this.sprite(key, visual.texture, layer);
     fit(sprite, size);
     sprite.position.set(at.x, at.y);
+    return sprite;
+  }
+
+  /** A text for `key` in the text layer, created on first use. */
+  private text(map: Map<string, Text>, key: string, create: () => Text): Text {
+    let text = map.get(key);
+    if (!text) {
+      text = create();
+      map.set(key, text);
+      this.texts.addChild(text);
+    }
+    return text;
   }
 
   draw(scene: Scene, view: Viewport, camera: Camera) {
     const visuals = sceneVisuals(scene, this.textures);
-    const sun = toScreen({ x: 0, y: 0 }, view, camera);
+    const layout = layoutScene(scene, view, camera);
+    const sun = layout.sun.center;
     const unit = toScreen({ x: 1, y: 0 }, view, camera).x - sun.x;
     for (const sprite of this.sprites.values()) sprite.visible = false;
 
@@ -90,77 +102,118 @@ export class MapRenderer {
     this.routes.clear();
     this.overlay.clear();
 
+    const placed = new Map(layout.locations.map((l) => [l.id, l]));
+    // Faint orbit rings: around the Sun at each body's current compressed
+    // radius, and a small one around a parent for its child (the Moon).
     for (const location of scene.locations) {
       if (location.orbitRadius !== null) {
         this.orbits
           .circle(sun.x, sun.y, location.orbitRadius * unit)
           .stroke({ width: 1, color: colors.orbit, alpha: colors.orbitAlpha });
       }
+      const child = mapStyle.childOffsets[location.id];
+      const parent = location.parentId ? placed.get(location.parentId) : undefined;
+      if (child && parent) {
+        this.orbits
+          .circle(parent.center.x, parent.center.y, child.distancePx)
+          .stroke({ width: 1, color: colors.orbit, alpha: colors.orbitAlpha });
+      }
     }
-    this.place("sun", visuals.sun, this.bodies, sun, baseSize("sun"), () =>
+
+    this.place("sun", visuals.sun, this.bodies, sun, layout.sun.size, () =>
       this.overlay.circle(sun.x, sun.y, 7).fill(colors.sun),
     );
 
     for (const location of scene.locations) {
-      const p = toScreen(location.point, view, camera);
-      const color = location.discovered ? colors.placeholderBody : colors.labelUndiscovered;
-      const size = baseSize(location.sprite);
+      const { center: p, size } = placed.get(location.id)!;
+      const placeholderColor = location.discovered
+        ? colors.placeholderBody
+        : colors.labelUndiscovered;
       this.place(
         `loc:${location.id}`,
         visuals.locations.get(location.id)!,
         this.bodies,
         p,
         size,
-        () => this.overlay.circle(p.x, p.y, 5).fill(color),
+        () => this.overlay.circle(p.x, p.y, 5).fill(placeholderColor),
       );
+
+      // Location badge art (Jupiter's cloud platform) on the body's edge, if provided.
+      const badgeArt = visuals.badges.get(location.id);
+      if (badgeArt) {
+        const edge = polar(size / 2, mapStyle.locationBadge.angleDeg);
+        const at = { x: p.x + edge.x, y: p.y + edge.y };
+        const badgeSize = mapStyle.locationBadge.sizePx * layout.scale;
+        this.place(`badge:${location.id}`, badgeArt, this.bodies, at, badgeSize, () => {});
+      }
+
       if (location.hasBay) {
         this.overlay.circle(p.x, p.y, size / 2 + 4).stroke({ width: 2, color: colors.hq });
       }
 
-      let label = this.labels.get(location.id);
-      if (!label) {
-        label = new Text({ text: location.name, style: { fontSize: 12, fill: color } });
-        this.labels.set(location.id, label);
-        this.texts.addChild(label);
-      }
+      // The name under the body, with a dark halo for contrast on the background.
+      const label = this.text(this.labels, location.id, () => {
+        const text = new Text({
+          text: location.name,
+          style: {
+            fontSize: mapStyle.label.fontSizePx,
+            fontWeight: "600",
+            fill: colors.label,
+            stroke: { color: colors.labelHalo, width: mapStyle.label.haloPx * 2, join: "round" },
+          },
+        });
+        text.anchor.set(0.5, 0);
+        return text;
+      });
       // Undiscovered locations are locked until a delivery reaches them (Step 10A.16).
       label.text = location.discovered ? location.name : `🔒 ${location.name}`;
       label.style.fill = location.discovered ? colors.label : colors.labelUndiscovered;
-      label.position.set(p.x + size / 2 + 4, p.y - 7);
 
-      // Idle ships here: a small badge with the count (Step 10.2).
-      let badge = this.badges.get(location.id);
-      if (!badge) {
-        badge = new Text({ text: "", style: { fontSize: 10, fill: colors.badgeText } });
-        badge.anchor.set(0.5);
-        this.badges.set(location.id, badge);
-        this.texts.addChild(badge);
-      }
+      // Idle ships here: a count badge just off the body's edge (Step 10.2).
+      const badge = this.text(this.badges, location.id, () => {
+        const text = new Text({
+          text: "",
+          style: {
+            fontSize: mapStyle.idleBadge.fontSizePx,
+            fontWeight: "700",
+            fill: colors.badgeText,
+          },
+        });
+        text.anchor.set(0.5);
+        return text;
+      });
       badge.visible = location.idleShips > 0;
-      if (badge.visible) {
-        const b = { x: p.x - size / 2 - 4, y: p.y + size / 2 + 4 };
-        this.overlay.circle(b.x, b.y, 7).fill(colors.badgeFill);
-        badge.text = String(location.idleShips);
-        badge.position.set(b.x, b.y);
+      badge.text = String(location.idleShips);
+    }
+
+    // Labels below (or above) bodies, badges on a clear diagonal (Step 10C.6).
+    const decorations = decorate(layout, (id) => this.labels.get(id)!);
+    for (const location of scene.locations) {
+      const { label, badge } = decorations.get(location.id)!;
+      const text = this.labels.get(location.id)!;
+      text.anchor.set(0.5, label.anchorY);
+      text.position.set(label.x, label.y);
+      const count = this.badges.get(location.id)!;
+      if (count.visible) {
+        this.overlay.circle(badge.x, badge.y, mapStyle.idleBadge.radiusPx).fill(colors.badgeFill);
+        count.position.set(badge.x, badge.y);
       }
     }
 
     // In-flight ships: the route line and the ship on it (Step 10.2).
-    for (const flight of scene.flights) {
-      const from = toScreen(flight.from, view, camera);
-      const to = toScreen(flight.to, view, camera);
-      const marker = toScreen(flight.marker, view, camera);
+    for (const flight of layout.flights) {
       this.routes
-        .moveTo(from.x, from.y)
-        .lineTo(to.x, to.y)
+        .moveTo(flight.from.x, flight.from.y)
+        .lineTo(flight.to.x, flight.to.y)
         .stroke({ width: 1, color: colors.routeBehind });
+      const { center } = flight;
       this.place(
         `ship:${flight.dispatchId}`,
         visuals.flights.get(flight.dispatchId)!,
         this.ships,
-        marker,
-        mapStyle.shipSizePx,
-        () => this.overlay.circle(marker.x, marker.y, 4).fill(colors.placeholderShip),
+        center,
+        flight.size,
+        () => this.overlay.circle(center.x, center.y, 4).fill(colors.placeholderShip),
       );
     }
 
diff --git a/apps/web/src/map/scene.ts b/apps/web/src/map/scene.ts
index c0a4c7a..9de2c7c 100644
--- a/apps/web/src/map/scene.ts
+++ b/apps/web/src/map/scene.ts
@@ -2,11 +2,18 @@ import { content } from "@deadhead/content";
 import type { Dispatch, PlayerState } from "@deadhead/schema";
 import { bodyPosition, dispatchProgress, loanerModel, realToGame } from "@deadhead/sim";
 import { locationMapPoint, radialScale, type MapPoint } from "./projection";
+import { mapStyle } from "./style";
 
 export interface SceneLocation {
   id: string;
   name: string;
+  /**
+   * Map position; for a child body (the Moon) its parent's position, since
+   * children are drawn at a fixed screen offset from it (decision 0.5.39).
+   */
   point: MapPoint;
+  /** The parent location of a child body, else null. */
+  parentId: string | null;
   /** Map radius of its orbit around the Sun (the faint ring); null for moons. */
   orbitRadius: number | null;
   discovered: boolean;
@@ -22,7 +29,9 @@ export interface SceneFlight {
   dispatchId: string;
   /** The ship's id, or "loaner" for a tutorial run. */
   shipId: string;
-  /** Origin at departure and destination at arrival: the route line. */
+  originId: string;
+  destinationId: string;
+  /** Origin at departure and destination at arrival (anchors; see `point`): the route line. */
   from: MapPoint;
   to: MapPoint;
   /** Where the ship is now, on the route line. */
@@ -44,6 +53,11 @@ function location(id: string) {
   return found;
 }
 
+/** The location whose map position a location is drawn from: its parent, if it has one. */
+export function anchorLocation(id: string) {
+  return location(mapStyle.childOffsets[id]?.parentId ?? id);
+}
+
 /**
  * A flight's route and current marker (Step 10.2). The marker moves along the
  * straight route line by the sim's progress, in map space, so it always stays
@@ -51,17 +65,19 @@ function location(id: string) {
  */
 export function flightMarker(dispatch: Dispatch, now: number, modelId: string): SceneFlight {
   const from = locationMapPoint(
-    location(dispatch.originId),
+    anchorLocation(dispatch.originId),
     realToGame(dispatch.departureAt, content.config),
   );
   const to = locationMapPoint(
-    location(dispatch.destinationId),
+    anchorLocation(dispatch.destinationId),
     realToGame(dispatch.arrivalAt, content.config),
   );
   const progress = dispatchProgress(dispatch, now);
   return {
     dispatchId: dispatch.id,
     shipId: dispatch.shipId,
+    originId: dispatch.originId,
+    destinationId: dispatch.destinationId,
     from,
     to,
     marker: { x: from.x + (to.x - from.x) * progress, y: from.y + (to.y - from.y) * progress },
@@ -86,7 +102,8 @@ export function buildScene(state: PlayerState, now: number): Scene {
       return {
         id: loc.id,
         name: loc.name,
-        point: locationMapPoint(loc, gameTime),
+        point: locationMapPoint(anchorLocation(loc.id), gameTime),
+        parentId: mapStyle.childOffsets[loc.id]?.parentId ?? null,
         orbitRadius: loc.body === "moon" ? null : radialScale(Math.hypot(sun.x, sun.y)),
         discovered: state.locations.some((l) => l.id === loc.id && l.discovered),
         hasBay: state.bays.some((b) => b.locationId === loc.id),
diff --git a/apps/web/src/map/style.ts b/apps/web/src/map/style.ts
index 5dbe7f4..48f041f 100644
--- a/apps/web/src/map/style.ts
+++ b/apps/web/src/map/style.ts
@@ -15,11 +15,21 @@ export const mapStyleSchema = z
     spriteSizePx: z.record(z.string(), px),
     /** Every ship sprite's base size (long side, px). */
     shipSizePx: px,
-    /** Sprite size factor limits as the player zooms (decision 0.5.38). */
-    spriteScale: z.object({ min: px, max: px }),
-    /** Child bodies drawn at a fixed screen offset from their parent (decision 0.5.39). */
+    /**
+     * Sprite size factor as the player zooms (decision 0.5.38): zoom ^ exponent,
+     * clamped to [min, max], so sprites stay roughly the same size on screen.
+     */
+    spriteScale: z.object({ min: px, max: px, zoomExponent: z.number().min(0).max(1) }),
+    /**
+     * Child bodies drawn at a fixed screen distance from their parent (decision
+     * 0.5.39). The angle is measured from the outward direction (Sun → parent),
+     * so a child never lands on the Sun.
+     */
     childOffsets: z.record(z.string(), offset.extend({ parentId: z.string() })),
-    /** Idle-ship count badge, from the body's center. */
+    /**
+     * Idle-ship count badge: `distancePx` beyond the body's edge, at `angleDeg`,
+     * or the first of the other diagonals that is clear of bodies and labels.
+     */
     idleBadge: offset.extend({ radiusPx: px, fontSizePx: px }),
     /** Location badge art (e.g. Jupiter's cloud platform), on the body's edge. */
     locationBadge: z.object({ sizePx: px, angleDeg: z.number() }),
@@ -69,9 +79,10 @@ export const mapStyle: MapStyle = mapStyleSchema.parse({
     "body-moon": 18,
   },
   shipSizePx: 24,
-  spriteScale: { min: 0.75, max: 1.75 },
-  childOffsets: { moon: { parentId: "earth", distancePx: 30, angleDeg: -45 } },
-  idleBadge: { distancePx: 20, angleDeg: 135, radiusPx: 8, fontSizePx: 10 },
+  spriteScale: { min: 0.75, max: 1.75, zoomExponent: 0.35 },
+  // 46 px clears Earth and the Moon at the largest sprite scale: (32 + 18) / 2 × 1.75 = 43.75.
+  childOffsets: { moon: { parentId: "earth", distancePx: 46, angleDeg: -30 } },
+  idleBadge: { distancePx: 2, angleDeg: -135, radiusPx: 8, fontSizePx: 10 },
   locationBadge: { sizePx: 16, angleDeg: -45 },
   minTapPx: 44,
   parallax: 0.15,
diff --git a/apps/web/test/map-layout.test.ts b/apps/web/test/map-layout.test.ts
index b5414b4..ba2a185 100644
--- a/apps/web/test/map-layout.test.ts
+++ b/apps/web/test/map-layout.test.ts
@@ -1,6 +1,16 @@
 import { describe, expect, it } from "vitest";
 import { MAX_ZOOM, MIN_ZOOM } from "../src/map/camera";
-import { backgroundRect } from "../src/map/layout";
+import {
+  backgroundRect,
+  decorate,
+  layoutScene,
+  polar,
+  spriteScale,
+  type SceneLayout,
+} from "../src/map/layout";
+import { buildScene } from "../src/map/scene";
+import { mapStyle } from "../src/map/style";
+import { samplePlayerState } from "./render";
 
 const viewports = [
   { width: 390, height: 700 },
@@ -54,3 +64,119 @@ describe("background placement (decision 0.5.40)", () => {
     expect(far.width / one.width).toBeLessThan(1.3);
   });
 });
+
+const dates = [
+  Date.parse("2100-01-01T00:00:00Z"),
+  Date.parse("2100-03-17T08:00:00Z"),
+  Date.parse("2101-11-02T19:30:00Z"),
+];
+const view = { width: 390, height: 700 };
+const cameraAt = (zoom: number) => ({ zoom, panX: 13, panY: -27 });
+
+describe("bodies on screen (decisions 0.5.38, 0.5.39)", () => {
+  it("keeps the sprite scale within the configured limits at extreme zooms", () => {
+    const { min, max } = mapStyle.spriteScale;
+    for (const zoom of [1e-6, MIN_ZOOM, 0.75, 1, 2, MAX_ZOOM, 1e6]) {
+      expect(spriteScale(zoom)).toBeGreaterThanOrEqual(min);
+      expect(spriteScale(zoom)).toBeLessThanOrEqual(max);
+    }
+    expect(spriteScale(1e-6)).toBe(min);
+    expect(spriteScale(1e6)).toBe(max);
+    expect(spriteScale(1)).toBe(1);
+  });
+
+  it("puts the Moon exactly the configured offset from Earth, at any zoom and date", () => {
+    const { distancePx, angleDeg } = mapStyle.childOffsets.moon!;
+    for (const now of dates) {
+      const scene = buildScene(samplePlayerState(), now);
+      for (const zoom of [MIN_ZOOM, 1, 7, MAX_ZOOM]) {
+        const layout = layoutScene(scene, view, cameraAt(zoom));
+        const earth = layout.locations.find((l) => l.id === "earth")!;
+        const moon = layout.locations.find((l) => l.id === "moon")!;
+        // The angle is measured from the outward direction, Sun → Earth.
+        const outward =
+          (Math.atan2(earth.center.y - layout.sun.center.y, earth.center.x - layout.sun.center.x) *
+            180) /
+          Math.PI;
+        const offset = polar(distancePx, outward + angleDeg);
+        expect(moon.center.x - earth.center.x).toBeCloseTo(offset.x, 9);
+        expect(moon.center.y - earth.center.y).toBeCloseTo(offset.y, 9);
+        // And the two sprites never overlap.
+        expect(Math.hypot(offset.x, offset.y)).toBeGreaterThanOrEqual((earth.size + moon.size) / 2);
+      }
+    }
+  });
+
+  it("starts and ends Moon routes where the Moon is drawn", () => {
+    const now = dates[0]!;
+    const state = samplePlayerState({
+      activeDispatches: [
+        {
+          id: "d",
+          shipId: "loaner",
+          pilotId: "avatar",
+          contract: null,
+          originId: "earth",
+          destinationId: "moon",
+          tutorial: true,
+          departureAt: now,
+          arrivalAt: now + 60_000,
+          distanceMillionKm: 0.4,
+          fuelCost: 0,
+          expectedPayout: 0,
+          seed: 1,
+          status: "in-flight",
+          resolvedAt: null,
+        },
+      ],
+    });
+    const layout = layoutScene(buildScene(state, now + 60_000), view, cameraAt(1));
+    const moon = layout.locations.find((l) => l.id === "moon")!;
+    expect(layout.flights[0]!.to.x).toBeCloseTo(moon.center.x, 6);
+    expect(layout.flights[0]!.to.y).toBeCloseTo(moon.center.y, 6);
+  });
+
+  it("never makes a tap target smaller than the minimum", () => {
+    const scene = buildScene(samplePlayerState(), dates[0]!);
+    for (const zoom of [1e-6, MIN_ZOOM, 1, MAX_ZOOM]) {
+      const layout = layoutScene(scene, view, cameraAt(zoom));
+      for (const item of [layout.sun, ...layout.locations, ...layout.flights]) {
+        expect(item.tap).toBeGreaterThanOrEqual(mapStyle.minTapPx);
+        expect(item.tap).toBeGreaterThanOrEqual(item.size);
+      }
+    }
+  });
+});
+
+describe("labels and badges (Step 10C.6)", () => {
+  const body = (id: string, x: number, y: number, size = 32) => ({
+    id,
+    center: { x, y },
+    size,
+    tap: 44,
+  });
+  const layout = (locations: ReturnType<typeof body>[]): SceneLayout => ({
+    scale: 1,
+    sun: { center: { x: -1000, y: -1000 }, size: 64, tap: 64 },
+    locations,
+    flights: [],
+  });
+  const size = () => ({ width: 60, height: 14 });
+
+  it("puts a label below its body when that is clear", () => {
+    const placed = decorate(layout([body("a", 100, 100)]), size);
+    expect(placed.get("a")!.label).toEqual({ x: 100, y: 120, anchorY: 0 });
+  });
+
+  it("moves a label above its body when below would cover another body", () => {
+    const placed = decorate(layout([body("a", 100, 100), body("b", 110, 140)]), size);
+    expect(placed.get("a")!.label).toEqual({ x: 100, y: 80, anchorY: 1 });
+  });
+
+  it("puts the idle badge on a diagonal clear of other bodies", () => {
+    // The default spot (up-left) is taken by another body.
+    const placed = decorate(layout([body("a", 100, 100), body("b", 70, 70)]), size);
+    const badge = placed.get("a")!.badge;
+    expect(Math.hypot(badge.x - 70, badge.y - 70)).toBeGreaterThan(24);
+  });
+});
diff --git a/apps/web/test/map-style.test.ts b/apps/web/test/map-style.test.ts
index 0066ddc..d4498d1 100644
--- a/apps/web/test/map-style.test.ts
+++ b/apps/web/test/map-style.test.ts
@@ -11,7 +11,7 @@ describe("map style config (CR-003)", () => {
       { ...mapStyle, shipSizePx: 0 },
       { ...mapStyle, spriteSizePx: { ...mapStyle.spriteSizePx, sun: -1 } },
       { ...mapStyle, minTapPx: 0 },
-      { ...mapStyle, spriteScale: { min: 2, max: 1 } },
+      { ...mapStyle, spriteScale: { min: 2, max: 1, zoomExponent: 0.35 } },
       { ...mapStyle, parallax: 1.5 },
       { ...mapStyle, parallax: -0.1 },
     ];
diff --git a/docs/screenshots/10c6-bodies-midgame-desktop.png b/docs/screenshots/10c6-bodies-midgame-desktop.png
new file mode 100644
index 0000000..4530a51
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diff --git a/docs/screenshots/10c6-bodies-midgame-phone.png b/docs/screenshots/10c6-bodies-midgame-phone.png
new file mode 100644
index 0000000..16ce270
Binary files /dev/null and b/docs/screenshots/10c6-bodies-midgame-phone.png differ
diff --git a/docs/screenshots/10c6-bodies-tutorial-desktop.png b/docs/screenshots/10c6-bodies-tutorial-desktop.png
new file mode 100644
index 0000000..34e6d42
Binary files /dev/null and b/docs/screenshots/10c6-bodies-tutorial-desktop.png differ
diff --git a/docs/screenshots/10c6-bodies-tutorial-phone.png b/docs/screenshots/10c6-bodies-tutorial-phone.png
new file mode 100644
index 0000000..ca75cbd
Binary files /dev/null and b/docs/screenshots/10c6-bodies-tutorial-phone.png differ
diff --git a/memory-bank/architecture.md b/memory-bank/architecture.md
index 81985c1..924f5f0 100644
--- a/memory-bank/architecture.md
+++ b/memory-bank/architecture.md
@@ -454,6 +454,7 @@ Vite + React 19 + Tailwind 4, React Router 8 (declarative routes). In developmen
 | `scripts/map-art.mjs` | Generates `public/assets/map-gen/` (`<id>@1x.png`, `<id>@2x.png`, `bg.webp`) from the manifest with sharp; output committed |
 | `src/map/style.ts` | Map presentation config (CR-003): sprite sizes, zoom scale limits, child-body offsets, badges, tap size, parallax, colors; validated by `mapStyleSchema` |
 | `src/map/art/load.ts`, `art/visuals.ts` | Load the generated art as one PixiJS bundle (2x at DPR ≥ 2); texture-or-placeholder per scene item (decision 0.5.41) |
+| `src/map/layout.ts` | Pure screen layout: `backgroundRect`, `spriteScale`, `childOffset`, `layoutScene` (centres, sizes, tap targets; used by renderer and hit test), `decorate` (label and badge placement) |
 | `src/map/renderer.ts` | `MapRenderer`: all PixiJS drawing for the map, layer by layer; `MapCanvas` owns the app, input and loading state |
 | `src/screens/*` | HQ, Contracts (TutorialBoard / LocationBoards + DispatchSheet), Fleet, Pilots, Market, Locations, StartScreen |
 | `src/components/*` | `AwaySummary` dialog, `Countdown` |
diff --git a/memory-bank/progress.md b/memory-bank/progress.md
index 193dda4..6d6a400 100644
--- a/memory-bank/progress.md
+++ b/memory-bank/progress.md
@@ -154,7 +154,7 @@ Spec: `memory-bank/change-requests/CR-003-map-art.md`. New decisions recorded as
 - [x] **Step 10C.3 — Map style config.** `apps/web/src/map/style.ts`: `mapStyleSchema` (Zod) and `mapStyle` with sprite sizes (Sun 64, Jupiter 48, Earth/Mars 32, Ceres 22, Moon 18, ships 24 px), sprite scale 0.75–1.75×, Moon offset 30 px at −45° from Earth, idle and location badge offsets, 44 px minimum tap, parallax 0.15, background margin 10%, label and colors. Test: `map-style.test.ts`.
 - [x] **Step 10C.4 — Asset loading and fallback.** `map/art/load.ts`: `artBundle(dpr)` (2x at DPR ≥ 2) registered once as PixiJS bundle `map-art`, each asset loaded separately so a failure only costs that asset (one warning, placeholder). `map/art/visuals.ts` picks texture or placeholder per item; the scene now carries sprite keys and each flight's ship model (loaner → Company Courier). Drawing moved from `MapCanvas` into `map/renderer.ts` (`MapRenderer`); the map shows "Loading map…" until art and renderer are ready. Test: `map-art-loading.test.ts`.
 - [x] **Step 10C.5 — Background.** `map/layout.ts` `backgroundRect`: cover viewport + 10% margin each side, zoom follow `zoom^0.05` (never below cover), pan × 0.15 parallax, clamped so no edge shows; drawn as one sprite under everything. The Map screen now fills the space down to the nav (it stopped 42 px short). Test: `map-layout.test.ts`. **Manual check:** `docs/screenshots/10c5-background-tutorial-{desktop,phone}{,-panned}.png`.
-- [ ] Step 10C.6 — Bodies, orbits, and labels
+- [x] **Step 10C.6 — Bodies, orbits, and labels.** `layoutScene` (map/layout.ts) gives every body, the Sun and each flight a screen centre, size (base × `spriteScale(zoom)` = zoom^0.35 clamped 0.75–1.75) and tap size (≥ 44 px); hit-testing uses it. The Moon is drawn 46 px from Earth at −30° from the Sun→Earth direction, with a faint ring around Earth; Moon routes start and end there. `decorate` places labels (bold, dark halo) below or above to avoid bodies and other labels, and idle badges on a clear diagonal. Jupiter's badge art is drawn on its edge when provided (not yet). Tests: `map-layout.test.ts`. **Manual check:** `docs/screenshots/10c6-bodies-{tutorial,midgame}-{desktop,phone}.png`.
 - [ ] Step 10C.7 — Location state overlays
 - [ ] Step 10C.8 — Ships in flight
 - [ ] Step 10C.9 — Performance