Launch Azimuth

bomba esplosiva www unicredito baby mere naseeb mein you evanescence angeli della notte altri tempi www provvarezzo bdp it blackkamenrider www radiojukebox info ardente fiamma boccoli bepi di marzi bartosiewicz krawczyk brevedades de los dias www charmed andremo in città yovana www gandy it www unica it servgen www tris it barzellette su berlusconi www tg leonardo rai it www siciliautomercato it yiya www museo di gambolo it yandel te suelto el pelo yulya mayarchuk zecchino doro 1973 www web assassinio made in italy - il segreto del vestito rosso www prevost com zenith now a ciascuno il suo destino yusuf sami aquila nera wwwgo2 y que de mi dalila blankass zorba greek aspettando la notte www lasvegas com winmx musica da scaricare brigata sardegna www sony it a casa per le vacanze www risorseperroma it agosto, donne mie non vi conosco www sorrisi rai it blu blu zainetti bratz da colorare accadde nella quinta strada you raised me up www palmare asus it www buffy the vampire slayer it www woolworths com brilli blue room www sbk com a scuola di ballo barbers adagio brittney spears bmw serie1 www publicwet it www silversea it www olgc ca www paparaso com br yattaman mp3 download bodybuilding zappulla boys jump www silviarocca it bono frank sinatra bachata besame amame wwwcartoon networ net baglioni cluadio yandel dembow benfatti giovanni www avrillavigne com www rasbank it burning heart brian adams summer zalwewski addio lara! all'inferno per l'eternità www webcam bastard amami teneramente zion lennon www sarno it www nonsolocap it bilancio fiat blak peace zanichelli scuola arma bianca yanpier yaho www sky center it www lespalais it zorlesco volta black sexy bellezze nere bikini adj helyet youssun ndour www camping la bussola zeta reticoli midi bans zimmer battle yael bellezze nude bella mora www spazio zero it biografia di toto www scooter it www specializzazione in infermieristica amori, letti e tradimenti zdob si www kristafishing it biografia riccardo scamarcio yaoou italia blu cantrel boom boom boom addio broadway! zorro www wwe raw it www bratpack com www yvuci it wwwatalanta it www 46mania com zlatko biglietto di invito you ll follow me down brani midi gratis x change download a.a.a. a mogli piacenti... tuttofare offresi yahtzee www parseek com x zone files bongi luigi gallia attacco: piattaforma jennifer www punto snai it zelig pino campagna bingo catania zibrokamin amori di una calda estate youhoo chat boccherini luigi op 30 bellucci video www rooswel it www lamerika bellagio The launch azimuth is the angle between north direction and the projection of the initial orbit plane onto the launch location. It is the compass heading you head for when you launch.

Relation between latitude and inclination

Not all inclinations can be reached at a position on a celestial body. The problem is, that the launch location has to be a point inside the target orbit plane. So, if the latitude of a launch location is higher than the inclination, the orbit can't be reached directly.

Using spherical trigonometry, we can calculate the launch azimuth required to hit any allowed orbit inclination.

$\cos(i)=\cos(\phi )\sin(\beta )\!$

where $i$ is the desired orbit inclination, $\phi$ is the launch site latitude, and $\beta$ is the launch azimuth. Solving for azimuth:

$\beta =\arcsin \left({\frac {\cos(i)}{\cos(\phi )}}\right)$

This shows mathematically why the inclination must be greater than the launch latitude: Otherwise, the argument to the inverse sine function would be greater than 1, which is out of its domain. Therefore there is no solution in this case.

Also, note that frequently there are two solutions: one northbound and one southbound. There is only one solution if the inclination is precisely equal to the latitude, and that is due east. There is only one solution if the inclination plus latitude exactly equals 180