Relativistic Astronomy. II. In-Flight Solution of Motion and Test of Special Relativity Light Aberration
arXiv:1904.02056 · doi:10.3847/1538-4357/ab1650
Abstract
The Breakthrough Starshot project aims to send centimeter-sized, gram-scale "StarChip" probes to Alpha Centauri at a speed of . On the other hand, Zhang \& Li recently proposed that trans-relativistic cameras may be sent to any direction to study astronomical objects and test special relativity. To conduct such "relativistic astronomy", one needs to solve the motion of the probe in flight. We solve the motion of the probe (including the moving direction and the velocity) by comparing the positions of three or more point sources observed in the Earth rest frame and in the probe's comoving frame. When the positions of enough point sources are taken into account, the motion of the probe can be solved with an error which is even smaller than the diffraction limit of the transrelativistic camera. After solving the motion, when the measurement of the position of an additional point source is introduced, one can use the data to test the light aberration effect in special relativity. The upper limit of the photon mass can be placed from the deviation of aberration to slightly lower than the energy of the photon, e.g. .
arXiv comment12 pages, 2 figures, 3 tables, accepted for publication in ApJ
References in corpus (10)
- emcee: The MCMC Hammer
- Gaia Data Release 2. Summary of the contents and survey properties
- The Gaia mission
- A terrestrial planet candidate in a temperate orbit around Proxima Centauri
- Constraints on the Photon Mass with Fast Radio Bursts
- Gravimagnetism, Causality, and Aberration of Gravity in the Gravitational Light-Ray Deflection Experiments
- A Bayesian Framework to Constrain the Photon Mass with a Catalog of Fast Radio Bursts
- Tight constraint on photon mass from pulsar spindown
- Relativistic Astronomy
- Interferometric Measurement of Acceleration at Relativistic Speeds