Pith Number

pith:4ZZ4L3XI

pith:2026:4ZZ4L3XIKBLWPP6EGKGUXOTZY4

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Artificial precession and instability in solar system and planetary simulations: analytic and numerical results

David M. Hernandez

Democratic Heliocentric Coordinates introduce analytically derivable artificial precession into two-body orbital simulations.

arxiv:2603.24456 v2 · 2026-03-25 · astro-ph.EP · astro-ph.IM

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3 Author claim open · sign in to claim

4 Citations open

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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

We analytically derive the two-body artificial precession induced by DHC. We show the effect is small for solar system bodies, but the artificial effect on Jupiter is 242 times larger than on Mercury.

C2weakest assumption

The surrogate Hamiltonian approximation remains valid for the chosen timesteps; if violated by excessively large steps, the analytic precession formula no longer bounds the error.

C3one line summary

Democratic Heliocentric Coordinates induce a two-body artificial precession that is 242 times larger for Jupiter than Mercury, yet stays negligible compared to general relativity effects unless timesteps break the surrogate Hamiltonian approximation.

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

A Coordinate System for Dynamical Instabilities in Hierarchical Systems in REBOUND

Receipt and verification

First computed	2026-05-18T02:45:04.558383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e673c5eee8505767bfc4328d4bba79c739497d3f4bb1ef5275454b1d94e01e87

Aliases

arxiv: 2603.24456 · arxiv_version: 2603.24456v2 · doi: 10.48550/arxiv.2603.24456 · pith_short_12: 4ZZ4L3XIKBLW · pith_short_16: 4ZZ4L3XIKBLWPP6E · pith_short_8: 4ZZ4L3XI

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4ZZ4L3XIKBLWPP6EGKGUXOTZY4 \
  | 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: e673c5eee8505767bfc4328d4bba79c739497d3f4bb1ef5275454b1d94e01e87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d93e730cfe63fcf02c131a0cd318eba5e63135e2eb1f57d9e8a60c492c0b4fd",
    "cross_cats_sorted": [
      "astro-ph.IM"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2026-03-25T16:07:44Z",
    "title_canon_sha256": "23683145f36212a46e6e6e9a781831e65a21bb4179f7153c6c0a6904deac9298"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.24456",
    "kind": "arxiv",
    "version": 2
  }
}