solar-system ephemerides

Standish elements → EIH 1PN N-body → Weyl-scalar intrinsic coordinates — planets, 20 moons & LISA — companion of projects/LISA

① heliocentric orrery — ecliptic J2000

② system view

③ improving the ephemeris

④ intrinsic coordinates — log₁₀|Re I| + Im nodal set

time (TDB)

speed

type any rate in the box: 0.01 · 2 h · 30 min · 1 s (real time)

view

tilt ①

zoom ①

log radius labels LISA invariant map

② planet filter

①② drag = turn/tilt · wheel = zoom · double-click = reset (① click = select body)
③ wheel = zoom time axis · drag = pan · ④ wheel = zoom map · drag = rotate
every panel minimizes with its corner − button; click a strip to restore

body

big-16 belt — DE441’s asteroid perturbers (sb441 states, 2-body osculating)

readouts

improve — EIH 1PN N-body

+ Ceres/Pallas/Vesta + 13 more (big-16 belt)

intrinsic coordinates (probe: LISA S/C-1)

notes

① Planets on the Standish mean elements (Table 1 inside 1800–2050, Table 2 outside — badge top-right); Sun-centered J2000 ecliptic; LISA drawn to true scale. Olive dots: DE441’s big-16 belt perturbers (sb441/DE441 states, 2-body osculating display propagation) — click or chip to select.
② Moons ride their real (DE441-anchored) orbit planes at catalog rates; Triton runs backwards because its angular momentum says so. Earth view: Moon by truncated ELP + the LISA triangle, 6.5× the lunar orbit. Drag to turn/tilt, wheel to zoom, double-click to reset.
③ The proposal's improvement, live: the baseline model (Standish elements; 2-body osculating for asteroids) drifts 10³–10⁶ km from the EIH 1PN integrator (DE441-anchored ICs) while 1PN (E, P) stay conserved — and Mercury's perihelion carries the (2+2γ−β)/3 × 42.98″/cy PPN signature. The big-16 checkbox puts the whole belt in the integrator (27 bodies).
④ Four Weyl scalars as coordinates: the map shows log|Re I| with the parity-odd nodal structure; det J ≠ 0 (eq. 14) holds, but intrinsic time is the marginal direction — the curvature-GPS button inverts the chart anyway.