Kasus Ekstrapolasi Posisi Planet Marst0 1 2 3 4 5 6 7 8 9 10 1250.5 1260.5 1270.5 1280.5 1290.5 1300.5 1310.5 1320.5 1330.5 1340.5 1450.5

f(t)1.391

1-1.44E-03

2

3

4

5

6

7

8

9

1.377-2.91E-03

-7.34E-05 9.17E-08 -7.07E-05 -4.33E-03 8.67E-08 -6.81E-05 -5.69E-03 2.43E-07 -6.08E-05 -6.91E-03 5.83E-08 -5.90E-05 -8.09E-03 2.12E-07 -5.27E-05 -9.14E-03 1.85E-07 -4.71E-05 -1.01E-02 1.92E-07 -4.14E-05 -1.09E-02 1.67E-10 -6.67E-10 1.67E-11 3.83E-09 -9.00E-11 1.78E-12 -4.62E-09 1.69E-10 -4.32E-12 -4.80E-15 3.92E-09 -1.71E-10 5.67E-12 7.92E-15 -1.82E-16 -1.25E-10 8.08E-11 -4.19E-12 -7.89E-15 2.26E-16 3.26E-19

1.348 1.305 1.248 1.179 1.098 1.006 0.906 0.796 0.536

hasil ekstrapolasi berdasar metode Newton dengan polinomial orde 9

pn ( x ) = f [x0 ] + f [x0 , x1 ]( x - x0 ) + f [x0 , x1 , x2 ]( x - x0 )( x - x1 ) + ..... + persamaan fungsi atau polinomial inter-ekstrapolasi cara Newton f [x0 , x1 ,......,xn ]( x - x0 ).....( x - xn - 1 )f [x0 ] = f ( x0 ) f [x0 , x1

] = [ f ( x1 ) -

f ( x0 )] f ( x0 ) - f ( x1 ) = ( x1 - x0 ) ( x0 - x1 )1.103 -1.688 -1.062 -1.207 13.856 -103.384 -134.243 -19.360 0.536 0.536 -0.404 -0.546 0.329 0.040 0.601 10.250 5.546 -32.064 10.926 10.926 orde 1 orde 2 orde 4 orde 5 orde 6 orde 7 orde 8 orde 9

perhitungan koefisien polinomial inter- ekstrapolasi Newton

P 1 (1450.5) = P 2 (1450.5) = P 3 (1450.5) = P 4 (1450.5) = P 5 (1450.5) = P 6 (1450.5) = P 7 (1450.5) = P 7 (1450.5) = P 8 (1450.5) = P 9 (1450.5) = P 1 (1450.5) = P 2 (1450.5) = P 3 (1450.5) = P 4 (1450.5) = P 5 (1450.5) = P 6 (1450.5) = P 7 (1450.5) = P 7 (1450.5) = P 8 (1450.5) = P 9 (1450.5) =

Lintasan Planet Mars1.6

Posisiterhadap Titik Referensi

orde 3

1.4 1.21.0

0.8 0.6 0.40.2

perhitungan maju berdasar ekstrapolasi Newton dengan polinomial orde 9 0.01200 1250 1300 1350 1400 1450 1500

orde 1 orde 2 orde 3 orde 4 orde 5 orde 6 orde 7 orde 8 orde 9

Waktu

perhitungan mundur berdasar ekstrapolasi Newton dengan polinomial orde 9

Lintasan Planet Mars1.6

1.4

1.2

Posisiterhadap Titik Referensi

1.0

0.8

0.6

0.4

0.2

0.0 1200

1250

1300

1350

1400

1450

1500

Waktu