Transcript
Page 1: Relacion Logarítmica Kepler

Tapia De León Roberto Carlos Grupo: 604Jorge Daniel Marroquín De La Rosa Física: IV

Planeta Radio orbital (m) Periodo sideral (s) Log Radio orbital (r) Log periodo sideral(t) Log r/Log tMercurio 57900000000 7600000 10.7626785637274 6.88081359228079 1.56415784549105Venus 108200000000 19400000 11.0342272607706 7.28780172993023 1.5140679823182Tierra 149600000000 31600000 11.1749315935284 7.4996870826184 1.49005304760354Marte 227900000000 59400000 11.3577443251804 7.77378644498119 1.46103117259068Jupiter 778300000000 375500000 11.8911470304488 8.57460994134019 1.38678576772557Saturno 1429400000000 930900000 12.1551537777651 8.96890303030383 1.35525534579822Urano 2871000000000 2650800000 12.4580331924965 9.42337696191906 1.32203489713304Neptuno 4504000000000 5200700000 12.6535983818433 9.71606180241888 1.30233819413264

Planeta r^3 t^2 r^3/t^2Mercurio 1.94104539E+032 57760000000000 3.3605356475069E+18Venus 1.266723368E+033 376360000000000 3.3657226272718E+18Marte 1.1836763639E+034 3528360000000000 3.3547494130418E+18Jupiter 4.71455917687E+035 1.4100025E+017 3.3436530622251E+18Saturno 2.920527724184E+036 8.6657481E+017 3.3701968837336E+18Urano 2.3664622311E+037 7.02674064E+018 3.3677950451577E+18Neptuno 9.1368216064E+037 2.704728049E+019 3.3780925257081E+18

0 5E+018 1E+019 1.5E+019 2E+019 2.5E+019 3E+0190

1E+037

2E+037

3E+037

4E+037

5E+037

6E+037

7E+037

8E+037

9E+037

1E+038

f(x) = 3.37793851715452E+018 x − 1.12486312658125E+034

r^3 / t^2

tiempo (segundos)

dist

ancia

(met

ros)

4 6 8 10 12 140

2

4

6

8

10

12

f(x) = 1.49951122765673 x − 9.25756706143777

Log r / Log t

Log r

Log

t

Page 2: Relacion Logarítmica Kepler

Tapia De León Roberto Carlos Grupo: 604Jorge Daniel Marroquín De La Rosa Física: IV

0 5E+018 1E+019 1.5E+019 2E+019 2.5E+019 3E+0190

1E+037

2E+037

3E+037

4E+037

5E+037

6E+037

7E+037

8E+037

9E+037

1E+038

f(x) = 3.37793851715452E+018 x − 1.12486312658125E+034

r^3 / t^2

tiempo (segundos)

dist

ancia

(met

ros)

4 6 8 10 12 140

2

4

6

8

10

12

f(x) = 1.49951122765673 x − 9.25756706143777

Log r / Log t

Log r

Log

t

Page 3: Relacion Logarítmica Kepler

Tapia De León Roberto Carlo Grupo: 604Jorge Daniel Marroquín De La Rosa Física: IV

Planeta Satélite (s) Radio Orbital (m)(r) Periodo Orbital (s)(t) r^3 / t^2= KTierra Luna 384000000 2360448 10162599205427.7

Marte Fobos 9000000 27648 953674316406.25Deimos 23000000 108864 1026632321055.74

Júpiter Ío 422000000 152928 3.21338924061427E+015Europa 671000000 306720 3.21131841286567E+015

Ganimedes 1070000000 618624 3.20108940144243E+015Calisto 1880000000 1442016 3195460029063878

Saturno Tetis 295000000 163296 962753164142110Dione 377000000 236736 956082656343310Rea 527000000 390528 959682313556284

Titán 1222000000 1378090 960856328987564Japeto 3561000000 6854112 961199480686057

Urano Miranda 130000000 121824 148034979078880Ariel 191000000 217728 146984498593470

Umbriel 266000000 357696 147101378545760Titania 436000000 752544 146350992777427Oberon 583000000 1162944 146517014112192

Neptuno Protéo 118000000 96768 175461764164900Tritón 355000000 507168 173932753282583

Plutón Caronte 19000000 552096 22502543068.3286