Launch Azimuth

Tesina ed fisica calcio storie erotiche vere Minorenni in calore Lavastoviglie rex Bangbros com melissa Prestito finanziario statale Gohan e videl xxx Cofanetto pantera rosa Offerta hotel Dragon ball z toys Test conoscenza inglese Traduzione inglese Auchan taranto Lastminute voli bangkok Olio extravergine Carrefur Tetta al vento Servizio informatico farmacia Sciare Corrieredellasera it Cassapanca Annuncio escort Albergo 2 stelle parigi Auto rimorchio milano Hotel vesuvio lourdes Hotel ulivo Marsa alam Umorismo giochi Castiglioncello Oroscopo bilancia Fonderia bronzo nokiotto Canottaggio Frase dolce romantica amore Vaporetto 700 polti vaporizzatori Volo napoli new york eurofly Cummings summer Rodox pics Hotel innsbruck Costantino vitagliano nudo Letteratura italiana Orkut com Pornostar cinesi Tit job Cervia albergo Titanic kate winslet Emula Aprire un negozio Virgin sex Orologio vendita on line Progetto casa campagna Video gay orsi Twin peaks theme Secondamano annuncio it Disneychannel tv Gioco prezioso cantatu Sardegna vacanza residence Abbywinters adozioni cani Costantino vitagliano Teen xxx Febbre da cavallo Mobili etnici Gif teschio Hawai shopping Hotel 3 stella oslo Sabrina ghio newsletter Video transex Colorare disegni per bambini Gran casa vicenza Prestito foggia Due punto zero Gerani Computer notebook occasione Banca woolwich Animal sex gallery Maggiorata nere Ricambio suzuki moto Orticaria angioedema Sci scuola Gastrite sintomo Prestito bergamo Lucy lawless Crazy frog Alessia ventura for men magazine Cofanetto clint eastwood Domini net Prestito trentino Fiabilandia Jessica drake Listino autovettura usata Video ingoio Melbourne ristorante Suck dick Annuncio immobiliare Webmail supereva it Segretario comunale revoca Massaggi cinese milano Nuvaring cistite Sinonimo e contrario chobin asus q002h offers the rock show girl muscle aggroberlina re magi warsaw ultra 3400pcx gps blue lcd 17 acer tarso philips 22 crt nagra providers and keys www prompyme gob pe malpensa fiume arno home teen www netcaffe c f Pictures mature plextor px716uf grandmaster s1 kvm 010 olympus 480 c turbo 439 epson t0552 amd 64 939 3000 homepage map nec p525 goocle cuffia philips fatboyslim malacca modem v90 max tortora www unipv mp3 rush pahes.cn over tahe site astra sw asus ax800pro td kenwood vrs 7100 bawds.cn aprilia nike nero rosa bohemia i don t wanna konw url lavoro aprilia home phocus tv lcd 30 smurf happy xmass merc modena map rocky theme tune prokof ev kay tracid geosat 4 travel sony 3ccd nikkor 24mm toshiba mt 700 elton john cd www lamber com samsung sf 340 camping puglia nike total 90 ii al1751as acer papi sancez eprom irmin the piramid video verve vermuelen url naughtygirl colgados tet Buy soma tramadol online fernado caldaia a gas www escortgirl pl kvr 1000 plus urban legends of hip hop eoy paci rothenburg and landwehr kaoma sat key vero o falso nx8220 py522et micra 2000 muvo tx 256 getflash wtz will grace 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