Pith Number

pith:W2XVKBDZ

pith:2026:W2XVKBDZMHM3G4LAXHTWSUWVPQ

not attested not anchored not stored refs pending

Stochastic Differential Dynamic Programming for Trajectory Optimization under Partial Observability

Masahiro Fujiwara, Naoya Ozaki

A stochastic differential dynamic programming algorithm optimizes spacecraft trajectories under partial observability by jointly handling control and belief-state evolution.

arxiv:2605.07529 v2 · 2026-05-08 · eess.SY · cs.SY · math.OC

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\usepackage{pith}
\pithnumber{W2XVKBDZMHM3G4LAXHTWSUWVPQ}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

the proposed method can exploit the coupling between trajectory design and orbit determination to obtain navigation-aware solutions with substantially lower fuel consumption than those from deterministic local optimization starting from the same initial guess

C2weakest assumption

The belief dynamics accurately capture the dependence of covariance propagation on the nominal trajectory and that the stochastic differential dynamic programming iterations converge to a solution that respects all general mission constraints without separation of estimation and control

C3one line summary

A new stochastic differential dynamic programming method optimizes coupled trajectory design and orbit determination under partial observability, producing navigation-aware solutions with lower fuel consumption than deterministic local optimization in examples like the circular restricted three-body

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-10T01:10:03.125782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6af55047961d9b37160b9e76952d57c01aa081470e9f493f1dba75895802bdb

Aliases

arxiv: 2605.07529 · arxiv_version: 2605.07529v2 · doi: 10.48550/arxiv.2605.07529 · pith_short_12: W2XVKBDZMHM3 · pith_short_16: W2XVKBDZMHM3G4LA · pith_short_8: W2XVKBDZ

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/W2XVKBDZMHM3G4LAXHTWSUWVPQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b6af55047961d9b37160b9e76952d57c01aa081470e9f493f1dba75895802bdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14dbba6f9d0c0517e71995bc8209c446ed0eb0675fc87dc4745ab1a1b70a467a",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2026-05-08T09:57:48Z",
    "title_canon_sha256": "a7d8f76bc4385bab06690486ee6a359101a2c4d1afbfdd5ad971587c5b66a4d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.07529",
    "kind": "arxiv",
    "version": 2
  }
}