# Terrena relocation: bit mapping (Tuna-17 job 1476306)

Option (b) was chosen by Benjamin. The bits only set the orbit parameters.

- Job: 1476306 (batch 849554), Tuna-17, 1024 shots, 3.923 s QPU, 1021 distinct 17-bit strings
- Seed: `sha256(json.dumps({'job_id': id, 'counts': sorted counts}, separators=(',',':'), sort_keys=True))` (same rule as sim.py for job 1476038)
- Seed value: `40533f6cedc6456cc5ece26149864f3d298cac6a31b0b652301b061a20962a82`
- u_k = int(seed[8k:8k+8], 16) / 2^32, for k = 0..7
- Allowed a window: 1.17–1.34 AU, minus ±0.006 AU around: Earth 4:3 (1.2114), Mars 7:5 (1.2175), Earth 7:5 (1.2515), Mars 4:3 (1.2578), Earth 3:2 (1.3104), Mars 5:4 (1.3131)
- Allowed segments: [1.1700, 1.2054], [1.2235, 1.2455], [1.2638, 1.3044], [1.3191, 1.3400]
- a = u0 mapped linearly over the concatenated segments; e = 0.003 + 0.027·u1; i = 2.5°·u2; Ω = 360°·u3; ϖ = 360°·u4; L = 360°·u5 (J2000 epoch, heliocentric)
- Stability gate: 1 Myr REBOUND WHFast (dt 0.01 yr), Sun + 8 planets + Terrena. Pass if all bound, e_T < 0.12, e_Mars < 0.20, e_Earth < 0.08 and Δa_T < 0.03 AU. On failure, u0' = sha256(seed|k)[:8]/2^32

| k | u |
|---|---|
| 0 | 0.251270 |
| 1 | 0.928807 |
| 2 | 0.773146 |
| 3 | 0.287206 |
| 4 | 0.162303 |
| 5 | 0.194103 |
| 6 | 0.187912 |
| 7 | 0.127291 |

Draws: draw 0: u=0.251270 → a=1.1999 AU → PASSED

Result: a = 1.1999 AU, e = 0.0281, i = 1.933°, Ω = 103.39°, ϖ = 58.43°, L = 69.88°, period 480.1 d