| Vacuum distance | Radio length | Curve range |
---|---|---|---|
(Generic) | \( D = \left\| {\varvec{r}_{1} - \varvec{r}_{2} } \right\| \) | \( L = \int_{{\varvec{r}}_{1} }^{{\varvec{r}}_{2} } {n\,dl} \) | \( R = {\smallint} _{{\varvec{r}_{1} }}^{{\varvec{r}_{2} }} 1 dl \) |
Direct | \( D_{d} = \left\| {\varvec{r}_{\text{ant}} - \varvec{r}_{\text{sat}} } \right\| \) | \(L_d = \int_{{\varvec{r}}_{ant} }^{{\varvec{r}}_{sat} } {n\,dl} \) | \( R_{d} = \int_{{\user2{r}_{{{\text{ant}}}} }}^{{\user2{r}_{{{\text{sat}}}} }} {1\,dl} \) |
Reflection | \( D_{r} = \left\| {\varvec{r}_{\text{ant}} - \varvec{r}_{\text{sfc}} } \right\| + \left\| {\varvec{r}_{\text{sfc}} - \varvec{r}_{\text{sat}} } \right\| \) | \( L_{r} = \int_{{\user2{r}_{{{\text{sfc}}}}^{'} }}^{{\user2{r}_{{{\text{sat}}}} }} {n\,dl} + \int_{{\user2{r}_{{{\text{ant}}}} }}^{{\varvec{r}^{\prime}_{{s{\text{fc}}}} }} {n\,dl} \) | \( R_{r} = {\smallint} ^{\varvec{r}_{\text{sat}}} _{\varvec{r}_{\text{sfc}}^{\prime}} 1 \, dl + {\smallint} ^{\varvec{r}_{\text{sfc}}^{\prime}} _{\varvec{r}_{\text{ant}}} 1\, dl\) |
Interferometric | \( D_{i} = D_{r} - D_{d} \) | \( L_{i} = L_{r} - L_{d} \) | \( R_{i} = R_{r} - R_{d} \) |