Pith Number

pith:PIRSZ7JH

pith:2025:PIRSZ7JH4ROYEL6LKVBGSMUFQU

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Ergodic Capacity and Optimal Handover in Satellite Mega-Constellations under Finite Serving Times

Brendon McBain, Emanuele Viterbo, Yi Hong

A renewal-theoretic model derives ergodic capacity for LEO mega-constellations with finite serving times and optimal uncoordinated handovers.

arxiv:2512.02449 v2 · 2025-12-02 · cs.IT · math.IT

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Claims

C1strongest claim

The results show that a simpler strategy that maximises serving capacity closely approximates the optimum while performing best under SGP4-based orbit prediction and mega-constellation simulation.

C2weakest assumption

The visible satellites are drawn from a non-homogeneous binomial point process (NBPP) at each handover and the selected satellite is then propagated using circular orbit dynamics, yielding independent serving periods under uncoordinated decisions.

C3one line summary

A renewal-theoretic framework derives persistent ergodic capacity for LEO mega-constellations under finite serving times and arbitrary handovers, with optimal handover decisions obtained via a fractional program solved by Dinkelbach's algorithm.

References

25 extracted · 25 resolved · 0 Pith anchors

[1] Research on user access technologies in satellite communication networks, 2024

[2] Handover manage- ment in low Earth orbit (LEO) satellite networks, 1999

[3] Handover technique in LEO satellite networks: A review, 2024

[4] Handover schemes in satellite networks: state-of-the-art and future research directions, 2006

[5] A technical compar- ison of three low Earth orbit satellite constellation systems to provide global broadband, 2019

Formal links

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Receipt and verification

First computed	2026-05-18T03:09:32.887227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a232cfd27e45d822fcb5542693285851d382963c087e5184658ecd6452d8e50

Aliases

arxiv: 2512.02449 · arxiv_version: 2512.02449v2 · doi: 10.48550/arxiv.2512.02449 · pith_short_12: PIRSZ7JH4ROY · pith_short_16: PIRSZ7JH4ROYEL6L · pith_short_8: PIRSZ7JH

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PIRSZ7JH4ROYEL6LKVBGSMUFQU \
  | 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: 7a232cfd27e45d822fcb5542693285851d382963c087e5184658ecd6452d8e50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb735419fba57dea8f24f162edcec26248fa77dc537cb8ba29189f636f45366d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-12-02T06:14:34Z",
    "title_canon_sha256": "80e57adb2814f62d5ab7879ecdc9a76095a00039a13564a02d5f29675ccf2a32"
  },
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  "source": {
    "id": "2512.02449",
    "kind": "arxiv",
    "version": 2
  }
}