Calculate, using tidal forces, Newton's gravitational force, and centripetal force, when Neptune's moon Despina, Galatea, and...

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Calculate, using tidal forces, Newton's gravitational force, and centripetal force, when Neptune's moon Despina, Galatea, and Neptune XIV will either fall to Neptune or escape from Neptune. consider the moon to be "fall to Neptune" if they cross 0.65 times its current orbit radius. Consider the moon to be "escaped" if it reaches a velocity higher than the escape velocity from Neptune. S/2004 N1 is Neptune XIV in the table below. Name Naiad Thalassa Galatea Larissa Pronunciation (key) Despina /dis'pi:ne/ S/2004 N 1 /'neræd, 'nar-, -ed/[39] /0ə læsə/ /gælə tize/ /le'risǝ/ Image Diameter (km) [note 6] 66 (96×60×52) 82 (108x100x52) 150 (180x148x128) 176 (204x184x144) 194 (216x204x168) ≈16-20[12] Mass (x 1016 kg) [note 7] 19 35 210 ≈375 495 Semi-major Orbital axis period (km) [38] (d) [38] 48 227 50 074 52 526 61 953 73 548 ≈0.5 0.4 105 300 + 50 0.294 0.311 0.335 0.429 0.555 0.936[12] Calculate, using tidal forces, Newton's gravitational force, and centripetal force, when Neptune's moon Despina, Galatea, and Neptune XIV will either fall to Neptune or escape from Neptune. consider the moon to be "fall to Neptune" if they cross 0.65 times its current orbit radius. Consider the moon to be "escaped" if it reaches a velocity higher than the escape velocity from Neptune. S/2004 N1 is Neptune XIV in the table below. Name Naiad Thalassa Galatea Larissa Pronunciation (key) Despina /dis'pi:ne/ S/2004 N 1 /'neræd, 'nar-, -ed/[39] /0ə læsə/ /gælə tize/ /le'risǝ/ Image Diameter (km) [note 6] 66 (96×60×52) 82 (108x100x52) 150 (180x148x128) 176 (204x184x144) 194 (216x204x168) ≈16-20[12] Mass (x 1016 kg) [note 7] 19 35 210 ≈375 495 Semi-major Orbital axis period (km) [38] (d) [38] 48 227 50 074 52 526 61 953 73 548 ≈0.5 0.4 105 300 + 50 0.294 0.311 0.335 0.429 0.555 0.936[12]