Towards a New Prescription for the Tidal Capture of Planets, Brown Dwarfs and Stellar Companions
N. Madappatt Alikutty, O. De Marco, J. Nordhaus, M. Wardle

TL;DR
This paper investigates the orbital evolution and capture conditions of planetary and stellar companions during the red giant phase, providing a new prescription for capture radius and timescales across a range of masses.
Contribution
It introduces a new model for the capture radius and timescales that accounts for a non-constant f parameter during stellar evolution.
Findings
Mass loss during the red giant branch has minimal impact on semi-major axis.
For a 1.5 solar mass star, the capture radius is about 300 R or 1.4 AU.
Initial results align with previous studies.
Abstract
We study the evolution of the orbit of a planetary companion as the primary star evolves during the red giant branch phase. Our aim is to determine a prescription for the capture radius and capture timescales for companions in a wide range of masses, from planet to star, including the effect of a non constant f parameter. Our initial results reproduce past findings. According to our study the mass-loss during the red giant branch does not significantly affect the semi major axis of the planet and for a 1.5 M star the capture radius is approximately 300 R or 1.4 AU.
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