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Table 1 Fit coefficients for the shadow factor

From: Comparison of shadow models and their impact on precise orbit determination of BeiDou satellites during eclipsing phases

Function

\({b}_{1}\)

\({b}_{2}\)

\({b}_{3}\)

\({b}_{4}\)

\(a_{1}=b_{1}{e}^{{b}_{2}d}+{b}_{3}{e}^{{b}_{4}d}\)

0.1715

− 0.1423

0.01061

− 0.01443

\({a}_{2}={b}_{1}d+{b}_{2}\)

0.008162

0.3401

\({a}_{3}={b}_{1}{e}^{{b}_{2}d}+{b}_{3}{e}^{{b}_{4}d}\)

260.9

− 0.4661

27.81

− 0.009437

\({a}_{4}={b}_{1}{d}^{{b}_{2}}+{b}_{3}\)

− 0.006119

1.176

6.385

\({a}_{5}={b}_{1}{e}^{{b}_{2}d}+{b}_{3}{e}^{{b}_{4}d}\)

87.56

− 0.09188

19.30

-0.01089

\({a}_{6}={b}_{1}d+{b}_{2}\)

0.002047

6.409

\({a}_{7}={b}_{1}{e}^{{b}_{2}d}+{b}_{3}{e}^{{b}_{4}d}\)

61.98

− 0.1629

27.87

− 0.02217

\({a}_{8}={b}_{1}{e}^{{b}_{2}d}+{b}_{3}{e}^{{b}_{4}d}\)

6.413

− 0.0002593

− 0.01479

− 0.1318