Both orbital eccentricities increase the 6:1 interaction in a coplanar TOI-4600 model
This study tests the source of slow transit timing changes in one model of TOI-4600. It uses the marginal medians in Table 7 of Hu and colleagues, arXiv:2604.26426v1. Newtonian model controls set both orbits in one plane and change their initial eccentricities. With both input eccentricities, the slow timing semi-amplitudes are 42.28 and 62.46 minutes. A Fourier calculation on fixed Kepler ellipses isolates the physical 6:1 interaction. Its amplitude is 9.08 times the sum of the amplitudes with only one eccentric orbit. Mixed eccentricity terms supply the large interaction coefficient in this geometry. A separate control starts with two circular orbits. It retains a 9.23-minute outer timing semi-amplitude. A stellar-motion estimate gives 9.28 minutes. The outer timing RMS falls from 6.50 to 0.058 minutes when the reference changes from the star to the inner center of mass. The slow circular signal is a sampling alias of stellar motion. Independent solver checks and seven public TESS light curves test the calculation. The package contains raw data, model events, code, source records, and three figures. The results apply to this specified model. They do not give a posterior constraint, a new planet, or a transit forecast.
TOI-4600 · transit timing variations · orbital eccentricity · stellar reflex motion · sampling alias · Jacobi coordinates · TESS · reproducible dynamics
References
10- usesdoi:10.48550/arXiv.2604.26426
Table 7 of version 1 supplies the fixed model inputs. The public light-curve checks reuse sectors in that study.
- doi:10.48550/arXiv.2308.15572
Original discovery and validation of the two known planets.
- supportsdoi:10.3847/0004-637X/821/2/96
Prior theory gives the dependence of high-order timing signals on both eccentricity vectors.
- supportsdoi:10.1111/j.1365-2966.2005.08922.x
Prior theory describes the timing shift from stellar motion induced by an inner planet.
- supportsdoi:10.1088/0004-637X/802/2/116
Prior theory describes synodic timing terms and sampling aliases.
- usesdoi:10.1051/0004-6361/201118085
REBOUND supplies the orbital initial states and Newtonian integrations.
- usesdoi:10.1093/mnras/stu2164
IAS15 supplies the main numerical integration method.
- usesdoi:10.1093/mnras/stv1257
WHFast supplies a numerical comparison over the full model interval.
- usesdoi:10.1086/683602
batman supplies the local TESS transit profiles.
- usesdoi:10.17909/kr6d-vk05
TESS mission data are accessed through MAST. Exact SPOC product identifiers and hashes are preserved.
Cited by
1 publicationPublic catalog entries on Sciscape.
- All 54 Newtonian GJ 367 c-d grid models with 300-year angle confinement fail the 10,000-year test
This related orbit-model study separates fixed-model tests from measured-system inference. It also states the limits of separate marginal medians as orbit inputs.