MATH 447 (Numerical Analysis II)

MATH 447 (Numerical Analysis II)

Project 3: Celestial Mechanics

===> Omar Safsaf, Mark Schools, Mike Sullivan <===


Celestial Mechanics (Problems 6.3.9-6.3.13)

Part 1: Problem 6.3.9 (Two-Body Problem))

Part 2: Problem 6.3.10 (Two-Body Problem))

Part 3: Problem 6.3.11 (Two-Body Problem))

Part 4: Problem 6.3.12 (Three-Body Problem))

Part 5: Problem 6.3.13 (Three-Body Problem))


Celestial Mechanics (Two-Body Problem)

Problem # Description Code Figure Video (mp4)
9a,b Two-Body Problem orbit2body.m Orbit2Body_fig01.pdf -
10a(1) " " Orbit2Body_fig02.pdf -
10a(2) " " Orbit2Body_fig03.pdf -
10a(3) " " Orbit2Body_fig04.pdf -
10b(1) " " Orbit2Body_fig05.pdf -
10a(2) " " Orbit2Body_fig06.pdf -
10c(1) " " Orbit2Body_fig07.pdf -
10c(2) " " Orbit2Body_fig08.pdf -
10c(3) " " - Orbit2Body_Trap_500.mp4
10c(4) " " - Orbit2Body_RK4_500.mp4
11a(1) " " Orbit2Body_fig09.pdf Orbit2Body_RK4_m1=m2=2.mp4
11a(2) " " Orbit2Body_fig10.pdf Orbit2Body_Trap_m1=m2=2.mp4
11b(1) " " Orbit2Body_fig11.pdf Orbit2Body_RK4_m1=m2=1.mp4
11b(2) " " Orbit2Body_fig12.pdf Orbit2Body_Trap_m1=m2=1.mp4
11c(1) " " Orbit2Body_fig13.pdf Orbit2Body_RK4_m1=m2=0.5.mp4
11c(2) " " Orbit2Body_fig14.pdf Orbit2Body_Trap_m1=m2=0.5.mp4

Celestial Mechanics (Three-Body Problem)

Problem # Description Code Figure Video (mp4) *** NOTES ***
12a Three-Body Problem orbit3body.m Orbit3Body_fig00.fig Orbit3Body_RK4_00.mp4 -
12b Three-Body Problem " Orbit3Body_fig01.fig Orbit3Body_RK4_01.mp4 SENSITIVE DEPENDENCE -------- OR -------- HOW TO CRASH A BILLION DOLLAR SATELLITE WITHOUT EVEN TRYING!!!
13a Three-Body Problem " Orbit3Body_fig02.fig Orbit3Body_RK4_02.mp4 *** FILE TRANSFER ERROR (LIMIT EXCEEDED?) ***