craterchains wrote:
While researching CS types of crater chains for the past six years, CS means Concise and Systematic, FieryIce (Ms Gale Smart of BC Canada) and I have inadvertently become somewhat knowledgeable about craters and their formations.
Maybe you can enlighten the enigma for crater chains to us/me. As far as i (amateur) understand, a commonly accepted hypothesis is that a small object is 'ripped apart' by the gravitational field of a larger object. The successive impacts of tightly separated object, flying in formation, causes the crater chains. The splitting of Schoemaker Levy comet (early nineties) and the subsequental impact on Jupiter as an example.
From a conceptual point of view this may be the 'truth', yet does the physics and math of it end up OK? I've performed a 'Gedankenexperiment' and came up with some conclusions, which raised some questions about the 'ripping' hypothesis.
Assume a small object in the gravitational field of a larger object. Now slice the small object like a grapefruit into two halfs and separate these halfs over a small distance. The relative velocity of these halfs is zero, they follow their path at the same distance. The two small objects have a gravitational field of their own. The two halfs will exert a mutual gravitational pull on each other, which will eventually lead to the rejoining of the two halfs.
Now assume that half #2 of the small object is further way from the large object than half #1. (The plane of slicing is perpendicular to the distance vector between the small and large object). Since the gravitational field is decreasing when distance increases, half #2 feels a little less gravitational pull towards the large object than half #1. When the difference in gravitational pull towards the large object overcomes the mutual gravitational pull between the two halfs, the two halfs will split further.
Before doing some simple math we need two assumptions.
1) the distance between the centers of gravity of the two halfs is approximatedly the radius of the original (unsliced) small object
2) the volumetric density of the large and small object are of the same order of maginitude (the scale depends on the qubic root of the ratio of the two volumetric densities)
The result is that the difference in gravitational pull towards the larger object will overcome the gravitational pull between both halfs, if the small object is rather close to the large object: about the diameter (twice the radius) of the large object.
Since Mercury is much further away than 1.5E6 km from the sun, the gravitational field of the sun can not be the culprit for any crater chains on Mercury. The diameter of Mercury itself, approx. 4E3 km, makes the time for splitting up a comet into several parts rather short, of the order of a quarter of an hour (flying a 4 km/s). So i have some doubts.
Allthough cohesion in the small object is expected to be very small, it will hamper the splitting up of the small body. This adds up to my doubts.
Maybe someone can enlighten this enigma for us/me, or proove my assumptions, math or physics to be wrong.
Regards,
Henk