WebQuestion: Using the equations for Roche Limit and Hill Radius discussed in class, A. Determine the Roche Limit and Hill Radius for planet Saturn (use data from appendices and assume equal moon and planet densities). B. Look up the distance range of Saturn's F Ring (the outermost prominent ring) and compare them to the Roche Limit. Are the rings … Webstar (Roche 1849). This is the familiar form of the Roche limit. In cases where the orbital period P of the planet is mea-sured directly it is more useful to rewrite the equation using Kepler’s third law, (2π/P)2 = GM/a3. The stellar mass and radius cancel out, giving Pmin ≃ s 3π (2.44)3 Gρp ≃12.6 hr ρp 1 g cm−3 −1/2, (2)
The Roche Limit by Miles Mathis
Web7 rows · Substituting for the masses in the equation for the Roche limit, and cancelling out 4π / 3 ... WebRoche Limit for a star like our Sun if its radius is R = 600,000 km, and the densities are ρ(planet) = 1.3 gm/cm 3 and ρ(star) = 1.5 gm/cm 3? 1/3 d = 1.5 million kilometers. So the … joseph alexander altsheler written works
The Roche Limit: Dangers Of Orbiting Jupiter Too Closely
WebJan 25, 2024 · As a concrete astrophysical example we obtain the expression of the Roche limit (the orbital distance at which a satellite begins to be tidally torn apart by the body it orbits) in the Weyl type gravity. Submission history From: Tiberiu Harko [ view email ] [v1] Mon, 25 Jan 2024 08:54:34 UTC (30 KB) [v2] Sat, 30 Jan 2024 16:36:53 UTC (30 KB) WebMar 8, 2002 · The equation for determining the Roche Limit is as follows: L r = 2.423 * R p * (D p / D m) 1/3. L r = Roche Limit, measured in planet radii R p = radius of the planet from its center D p = density of the planet D m = density of the body. Thus, if a planet and its moon have the same density, the Roche Limit would be 2.423 planet radii. Roche himself derived the following approximate solution for the Roche limit: d ≈ 2.44 R ( ρ M ρ m ) 1 / 3 {\displaystyle d\approx 2.44R\left({\frac {\rho _{M}}{\rho _{m}}}\right)^{1/3}} However, a better approximation that takes into account the primary's oblateness and the satellite's mass is: See more In celestial mechanics, the Roche limit, also called Roche radius, is the distance from a celestial body within which a second celestial body, held together only by its own force of gravity, will disintegrate because the first … See more The limiting distance to which a satellite can approach without breaking up depends on the rigidity of the satellite. At one extreme, a … See more • Roche lobe • Chandrasekhar limit • Hill sphere • Spaghettification (the extreme case of tidal distortion) • Black hole See more • Discussion of the Roche Limit • Audio: Cain/Gay – Astronomy Cast Tidal Forces Across the Universe – August 2007. See more The Roche limit typically applies to a satellite's disintegrating due to tidal forces induced by its primary, the body around which it orbits. Parts of the satellite that are closer to the primary are attracted more strongly by gravity from the primary than parts that are … See more In 2024, it was discovered that the minor planet 50000 Quaoar has a planetary ring. The ring is at a distance over seven times the radius of … See more • Édouard Roche: "La figure d'une masse fluide soumise à l'attraction d'un point éloigné" (The figure of a fluid mass subjected to the attraction of a distant point), part 1 See more joseph allen father of ethan allen