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Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Can you help me code the algorithm into MATLAB? The delta zero, delta one and so forth are equal to the determinats of a 3x3 matrix made of the three

Transcribed Image Text:Polynomial coefficients:
• Position vector magnitude: solve
a =
4(A1/Ao)²+4(A1/Ao)L-R - ||R||²
b=-8µ(A/Ao)(A2/Ao)+4µ(A2/Ao)L-R
c=-4μ²(A2/Ao)²
to obtain the applicable real root ||r||.
(=r³+ar6+b||r||³+c
• Range and range-rate:
p -2(A/Ao)-2u||||³ (A2/Ao)
p=-(A3/Ao) - µ||||³ (A4/A0)
•
Object position and velocity:
r=R+PL
r=R+PL+PL
Output: 2 and v₂ =ŕ

Transcribed Image Text:3.1.3.1 Algorithm for Laplace's Method
.
Given: ti, Li, and R; for i€ {1,2,3} and
⚫ Observer position at middle observation: R = R₂
.
Observer velocity and acceleration: R-XR and R= × R
Lagrange interpolation coefficients:
$1
12-13
(11-12) (11-13)'
212-11-13
$2=
" $3=
2
(12-11) (12-13)
2
12-11
(13-11)(13-12)
2
S4=
$5
(11-12) (11-13)
"
(12-11)(12-13)
$6
"
(13-11)(13-12)
•
Line-of-sight and associated rates:
⚫ Determinants:
L-L2
L=S₁L₁+82L2+$3L3
L=84L1+55L2+8643
Ao 2|| L| L| | ||
=
ALL R ||
A2 L L
R ||
=
A3|L|R| L ||
ALR £ ||
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