3d sphere orbit animation (raycasted, shaded)

Uttryck 14: phi equals 0.2 6 7

centre of star

Uttryck 16: "S" Subscript, "C" , Baseline equals left bracket, 0 , negative 2 , 5 , right bracket

centre of planet

Uttryck 18: "P" Subscript, "C" , Baseline equals "S" Subscript, "C" , Baseline plus 2 times left bracket, cos phi , 0 , sin phi , right bracket

radius of planet

Uttryck 20: "P" Subscript, "R" , Baseline equals 0.3

Uttryck 21: "H" left parenthesis, "p" , right parenthesis equals left brace, "R" Subscript, "N" , Baseline left parenthesis, "I" left parenthesis, "R" Subscript, "D" , Baseline left parenthesis, "p" , right parenthesis , "P" Subscript, "C" , Baseline , "P" Subscript, "R" , Baseline , right parenthesis , right parenthesis greater than or equal to 1 : left parenthesis, "I" left parenthesis, "R" Subscript, "D" , Baseline left parenthesis, "p" , right parenthesis , "P" Subscript, "C" , Baseline , "P" Subscript, "R" , Baseline , right parenthesis , 2 , right parenthesis , "R" Subscript, "N" , Baseline left parenthesis, "I" left parenthesis, "R" Subscript, "D" , Baseline left parenthesis, "p" , right parenthesis , "S" Subscript, "C" , Baseline , 1 , right parenthesis , right parenthesis greater than or equal to 1 : left parenthesis, "I" left parenthesis, "R" Subscript, "D" , Baseline left parenthesis, "p" , right parenthesis , "S" Subscript, "C" , Baseline , 1 , right parenthesis , 1 , right parenthesis , left parenthesis, negative 1 , 0 , right parenthesis , right brace

Uttryck 22: "H" Subscript, "O" , Baseline left parenthesis, "p" , right parenthesis equals "N" left parenthesis, left bracket, "p" . "x" , "p" . "y" , 1 , right bracket , right parenthesis times "I" left parenthesis, "N" left parenthesis, left bracket, "p" . "x" , "p" . "y" , 1 , right bracket , right parenthesis , "S" Subscript, "C" , Baseline , 1 , right parenthesis

Uttryck 23: "L" left parenthesis, "v" , "c" , right parenthesis equals StartFraction, "D" left parenthesis, "N" left parenthesis, "S" Subscript, "C" , Baseline minus "c" , right parenthesis , "N" left parenthesis, "v" minus "c" , right parenthesis , right parenthesis Over 1 , EndFraction

Uttryck 24: "C" Subscript, "P" , Baseline equals rgb left parenthesis, 100 , 100 , 20 , right parenthesis

Uttryck 25: "C" Subscript, "S" , Baseline equals rgb left parenthesis, 256 , 256 , 150 , right parenthesis

Uttryck 26: "s" Subscript, "b" , Baseline equals 0.1

Uttryck 27: left parenthesis, "R" Subscript, "D" , Baseline left parenthesis, left parenthesis, "x" , "y" , right parenthesis , right parenthesis times "H" left parenthesis, left parenthesis, "x" , "y" , right parenthesis , right parenthesis . "x" , right parenthesis left bracket, 3 , right bracket less than or equal to left bracket, 4 , 4 plus "s" Subscript, "b" , Baseline , ...5 , right bracket left brace, "H" left parenthesis, left parenthesis, "x" , "y" , right parenthesis , right parenthesis . "y" equals 1 , right brace

Uttryck 28: "L" left parenthesis, "R" Subscript, "D" , Baseline left parenthesis, left parenthesis, "x" , "y" , right parenthesis , right parenthesis times "H" left parenthesis, left parenthesis, "x" , "y" , right parenthesis , right parenthesis . "x" , "P" Subscript, "C" , Baseline , right parenthesis greater than or equal to left bracket, 0 , "s" Subscript, "b" , Baseline , ...1 , right bracket left brace, "H" left parenthesis, left parenthesis, "x" , "y" , right parenthesis , right parenthesis . "y" equals 2 , right brace

driven av