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Author	SHA1	Message	Date
SenrokaiandClaude Opus 5.5	74ea1d655e	Turn a locked moon's pole round with its drawn node, so its axis stays on its orbit at every date the clock reaches The IAU carries a locked moon's pole round its orbit normal on a term of the node's angle, as a moon in a Cassini state keeps it, but at the node rate the IAU's source had: Miranda's U11 at -2024.22 degrees a century where the JPL table its orbit is drawn from has -2030.80, Mimas's S3 at -36505.5 against -36511.16. Over AD 1-3000 that parted Miranda's drawn axis from its drawn orbit normal by up to 7.89 degrees (AD 9), so Uranus swung 7.6 degrees north and south on its sky every 1.41 days, and Mimas's by 2.63. Only Iapetus's pole had been put on its orbit. lockedToOrbit now sets every periodic term whose angle turns within 5 per cent of k times the drawn node rate (k from 1 to 9, the most the report takes, Triton's) to exactly that multiple, and moves its constant so the angle, and the pole and W with it, are unchanged on 2025-01-01 (the 2025 pole and W of every changed moon are identical to the 1e-14 degree). Measured: the largest offset taken is Ganymede's J5, 3.4e-2, then Rhea's 1.2e-2; the nearest term that is not a node is 6.0e-2 out (a W-only term of Miranda's), and Umbriel's W has one 1.0e-2 from ten times its node, which the k limit leaves. Ten moons change: Deimos, Io, Europa, Ganymede, Mimas, Tethys, Rhea, Miranda, Triton and Proteus. The Moon and Phobos, whose W carries a quadratic, are left as before, and so is Callisto's J6, 40 per cent from its node rate. Worst angle between the spin axis and the drawn orbit normal over AD 1-3000, every 135 days, before and after: Miranda 7.89 -> 0.42, Mimas 2.63 -> 0.47, Rhea 0.77 -> 0.17, Triton 0.51 -> 0.15, Europa 0.33 -> 0.13, Ganymede 0.50 -> 0.16. Faces: Miranda 2.75 -> 2.39, Mimas 8.94 -> 8.89, Deimos 2.14 -> 2.08, Triton 2.88 -> 2.81; none got worse. build.ts now checks that angle for every locked moon over the same 8114 dates as the face check, at most 1 degree (Tethys 0.97, whose IAU pole sits 0.69 from its orbit today; Titan 0.94, whose IAU pole is still while its node turns in 705 years), with four named ceilings: the Moon 7.1 (its real 6.7-degree tilt, 6.98 at worst), Phobos 2 and Deimos 2 (1.81 and 1.74) and Proteus 1.2 (1.09), whose IAU poles nod with Mars's and Neptune's precessing poles while the Laplace poles their orbits are drawn round are fixed. The obliquity check at Horizons' epoch shares the new axisFromOrbitDeg with it. Nothing checked the axis against the orbit before: an Iapetus pole left on its Laplace pole, 8.30 degrees off at every date, passed the ETL and the suite. Guarded mutants, each through the solar ETL and then the suite on the data it wrote: - node terms left at the IAU rates: the ETL fails with "Moon mimas's spin axis leans up to 2.63 degrees ... (at most 1 expected)", and the suite with only the new test failing; - Iapetus's pole put on its Laplace pole, W re-phased so its face today is unchanged (worst face 16.41, under its 16.5 ceiling): the ETL fails with "Moon iapetus's spin axis leans up to 8.30 degrees", and the suite with only the new test failing. Also: lockedToOrbit called the Iapetus normal's circle "8.3 degrees across"; 8.3 is its radius (the row's i = 8.298 to the Laplace plane) and it is 16.6 across. The README credited every rotation to pck00011 without saying that a locked moon's W and node terms are re-rated to its JPL mean elements and Iapetus's pole carried round its orbit normal; both of its lines now say so, as the body model's doc does. Unit suite 858/858, etl:typecheck and tsc -p tsconfig.app.json clean, solar ETL passes on the real data. Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>	2026-09-30 17:17:54 +02:00
SenrokaiandClaude Opus 5.5	3b4fd1af6c	Turn each locked moon at its orbit's rate and Iapetus's pole round its orbit, so they face their planets at every date the clock reaches The IAU gives a locked moon's W the mean motion of whichever orbit its authors had, and JPL's table has another. Near the present the difference is nothing; over the clock's AD 1 to 3000 it turned Proteus's far side to Neptune at AD 1 (146 degrees), Mimas 52 degrees from Saturn and Miranda 23. Iapetus was worse for another reason: its IAU pole is a straight line, 3.9 degrees a century in right ascension, through its orbit normal's 3 439-year circle round the Laplace pole, which by AD 1 has run past the celestial pole (Dec 97.9), 11 degrees off the orbit, with the face 87 degrees from Saturn. Mimas and Iapetus carry mission maps, so a wrong hemisphere was drawn facing Saturn. The ETL's lock check sampled only 1950-2100, so none of it failed. tools/etl/lib/locked-spin.ts, lockedToOrbit, called for every locked moon: - W's rate becomes the orbit's own mean motion, its constant moved so W is unchanged on 2025-01-01; the pole and every periodic term stay the IAU's. A W with a quadratic is left (Phobos's orbit already takes it; the Moon's is its tidal slowing, 0.75 degrees at AD 1). The kernel's rate must be within 1e-5 of the orbit's first (at most 3.4e-6, Iapetus). - Iapetus (poleFollowsOrbit): the pole follows its orbit normal, as a moon in a Cassini state does, in the IAU's own form: sines of the node's angle and four harmonics on right ascension, cosines on declination, fitted to the normal's circle and pinned to the IAU pole at the present; W takes sines of the same angles, fitted to hold the face where it is today. build.ts samples the lock over AD 1 to 3000 (8 114 dates, every 135 days) instead of 1950-2100, and subPlanetLongitudeDeg moved to the lib, shared by both. Measured on the real catalogue: at most 5.36 degrees (Titan) but the Moon 7.62 (its eccentricity, and W's quadratic at AD 1: a new named ceiling of 8), Mimas 8.94 (ceiling 11 -> 9.5) and Iapetus 15.95 (19 -> 16.5, 9.4 of it its row's lag); Proteus's own ceiling of 9 is gone, at 2.66. Iapetus's axis stays within 0.74 degrees of its orbit normal (11.06 before) and its pole is the IAU's at the present to 1e-4 degrees. Live on :4301, the longitude facing the planet at AD 1 / 1000 / 2025 / 2999: Proteus 2.6 / 2.6 / 2.6 / 2.6 (was -146.5 / -72.9 / 2.6 / 74.5), Iapetus -15.9 / -15.4 / -15.3 / -9.3 (-87.0 / -50.9 / -15.3 / 22.8), Mimas 4.1 / 6.8 / 5.7 / 8.4 (48.6 / 29.3 / 5.7 / -13.0), Miranda -0.1 / 2.2 / 0.0 / 1.4 (-23.4 / -9.6 / 0.0 / 12.6); the present is unchanged. The renderer spec now takes the rotational elements from bodies.json too, so no hand copy is left, and a new test turns Proteus, Miranda, Mimas and Iapetus to their planets at AD 1 and AD 3000. Guarded mutants, each run through the solar ETL and then the full suite on what it wrote: lockedToOrbit bypassed (validator: Mimas 52.30, ceiling 9.5; the new test fails), Iapetus on the IAU's straight pole (98.48), and its pole round the orbit without W's terms (73.13); each fails the new test and only it. Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>	2026-09-30 15:58:04 +02:00

Author

SHA1

Message

Date

SenrokaiandClaude Opus 5.5

74ea1d655e

Turn a locked moon's pole round with its drawn node, so its axis stays on its orbit at every date the clock reaches

The IAU carries a locked moon's pole round its orbit normal on a term of the node's angle, as a
moon in a Cassini state keeps it, but at the node rate the IAU's source had: Miranda's U11 at
-2024.22 degrees a century where the JPL table its orbit is drawn from has -2030.80, Mimas's S3 at
-36505.5 against -36511.16. Over AD 1-3000 that parted Miranda's drawn axis from its drawn orbit
normal by up to 7.89 degrees (AD 9), so Uranus swung 7.6 degrees north and south on its sky every
1.41 days, and Mimas's by 2.63. Only Iapetus's pole had been put on its orbit.

lockedToOrbit now sets every periodic term whose angle turns within 5 per cent of k times the
drawn node rate (k from 1 to 9, the most the report takes, Triton's) to exactly that multiple, and
moves its constant so the angle, and the pole and W with it, are unchanged on 2025-01-01 (the
2025 pole and W of every changed moon are identical to the 1e-14 degree). Measured: the largest
offset taken is Ganymede's J5, 3.4e-2, then Rhea's 1.2e-2; the nearest term that is not a node is
6.0e-2 out (a W-only term of Miranda's), and Umbriel's W has one 1.0e-2 from ten times its node,
which the k limit leaves. Ten moons change: Deimos, Io, Europa, Ganymede, Mimas, Tethys, Rhea,
Miranda, Triton and Proteus. The Moon and Phobos, whose W carries a quadratic, are left as before,
and so is Callisto's J6, 40 per cent from its node rate.

Worst angle between the spin axis and the drawn orbit normal over AD 1-3000, every 135 days,
before and after: Miranda 7.89 -> 0.42, Mimas 2.63 -> 0.47, Rhea 0.77 -> 0.17, Triton 0.51 ->
0.15, Europa 0.33 -> 0.13, Ganymede 0.50 -> 0.16. Faces: Miranda 2.75 -> 2.39, Mimas 8.94 ->
8.89, Deimos 2.14 -> 2.08, Triton 2.88 -> 2.81; none got worse.

build.ts now checks that angle for every locked moon over the same 8114 dates as the face check,
at most 1 degree (Tethys 0.97, whose IAU pole sits 0.69 from its orbit today; Titan 0.94, whose
IAU pole is still while its node turns in 705 years), with four named ceilings: the Moon 7.1 (its
real 6.7-degree tilt, 6.98 at worst), Phobos 2 and Deimos 2 (1.81 and 1.74) and Proteus 1.2
(1.09), whose IAU poles nod with Mars's and Neptune's precessing poles while the Laplace poles
their orbits are drawn round are fixed. The obliquity check at Horizons' epoch shares the new
axisFromOrbitDeg with it. Nothing checked the axis against the orbit before: an Iapetus pole left
on its Laplace pole, 8.30 degrees off at every date, passed the ETL and the suite.

Guarded mutants, each through the solar ETL and then the suite on the data it wrote:
- node terms left at the IAU rates: the ETL fails with "Moon mimas's spin axis leans up to 2.63
  degrees ... (at most 1 expected)", and the suite with only the new test failing;
- Iapetus's pole put on its Laplace pole, W re-phased so its face today is unchanged (worst face
  16.41, under its 16.5 ceiling): the ETL fails with "Moon iapetus's spin axis leans up to 8.30
  degrees", and the suite with only the new test failing.

Also: lockedToOrbit called the Iapetus normal's circle "8.3 degrees across"; 8.3 is its radius (the
row's i = 8.298 to the Laplace plane) and it is 16.6 across. The README credited every rotation to
pck00011 without saying that a locked moon's W and node terms are re-rated to its JPL mean elements
and Iapetus's pole carried round its orbit normal; both of its lines now say so, as the body
model's doc does.

Unit suite 858/858, etl:typecheck and tsc -p tsconfig.app.json clean, solar ETL passes on the
real data.

Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>

2026-09-30 17:17:54 +02:00

SenrokaiandClaude Opus 5.5

3b4fd1af6c

Turn each locked moon at its orbit's rate and Iapetus's pole round its orbit, so they face their planets at every date the clock reaches

The IAU gives a locked moon's W the mean motion of whichever orbit its authors had, and JPL's table
has another. Near the present the difference is nothing; over the clock's AD 1 to 3000 it turned
Proteus's far side to Neptune at AD 1 (146 degrees), Mimas 52 degrees from Saturn and Miranda 23.
Iapetus was worse for another reason: its IAU pole is a straight line, 3.9 degrees a century in
right ascension, through its orbit normal's 3 439-year circle round the Laplace pole, which by AD 1
has run past the celestial pole (Dec 97.9), 11 degrees off the orbit, with the face 87 degrees
from Saturn. Mimas and Iapetus carry mission maps, so a wrong hemisphere was drawn facing Saturn.
The ETL's lock check sampled only 1950-2100, so none of it failed.

tools/etl/lib/locked-spin.ts, lockedToOrbit, called for every locked moon:
- W's rate becomes the orbit's own mean motion, its constant moved so W is unchanged on
  2025-01-01; the pole and every periodic term stay the IAU's. A W with a quadratic is left
  (Phobos's orbit already takes it; the Moon's is its tidal slowing, 0.75 degrees at AD 1). The
  kernel's rate must be within 1e-5 of the orbit's first (at most 3.4e-6, Iapetus).
- Iapetus (poleFollowsOrbit): the pole follows its orbit normal, as a moon in a Cassini state does,
  in the IAU's own form: sines of the node's angle and four harmonics on right ascension, cosines
  on declination, fitted to the normal's circle and pinned to the IAU pole at the present; W takes
  sines of the same angles, fitted to hold the face where it is today.

build.ts samples the lock over AD 1 to 3000 (8 114 dates, every 135 days) instead of 1950-2100, and
subPlanetLongitudeDeg moved to the lib, shared by both. Measured on the real catalogue: at most
5.36 degrees (Titan) but the Moon 7.62 (its eccentricity, and W's quadratic at AD 1: a new named
ceiling of 8), Mimas 8.94 (ceiling 11 -> 9.5) and Iapetus 15.95 (19 -> 16.5, 9.4 of it its row's
lag); Proteus's own ceiling of 9 is gone, at 2.66. Iapetus's axis stays within 0.74 degrees of its
orbit normal (11.06 before) and its pole is the IAU's at the present to 1e-4 degrees.

Live on :4301, the longitude facing the planet at AD 1 / 1000 / 2025 / 2999: Proteus 2.6 / 2.6 /
2.6 / 2.6 (was -146.5 / -72.9 / 2.6 / 74.5), Iapetus -15.9 / -15.4 / -15.3 / -9.3 (-87.0 / -50.9 /
-15.3 / 22.8), Mimas 4.1 / 6.8 / 5.7 / 8.4 (48.6 / 29.3 / 5.7 / -13.0), Miranda -0.1 / 2.2 / 0.0 /
1.4 (-23.4 / -9.6 / 0.0 / 12.6); the present is unchanged.

The renderer spec now takes the rotational elements from bodies.json too, so no hand copy is left,
and a new test turns Proteus, Miranda, Mimas and Iapetus to their planets at AD 1 and AD 3000.
Guarded mutants, each run through the solar ETL and then the full suite on what it wrote:
lockedToOrbit bypassed (validator: Mimas 52.30, ceiling 9.5; the new test fails), Iapetus on the
IAU's straight pole (98.48), and its pole round the orbit without W's terms (73.13); each fails the
new test and only it.

Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>

2026-09-30 15:58:04 +02:00