User-Agent: Microsoft-Entourage/12.20.0.090605Date: Fri, 13 Mar 2009 09:44:08 -0500Subject: Curious Cassini ConundrumFrom: adamod <adamod@earthlink.net>Message-ID: <C5DFDB6E.D039%adamod@earthlink.net>Thread-Topic: Curious Cassini ConundrumMime-version: 1.0Content-type: multipart/mixed;	boundary="B_3355039787_2319039"> This message is in MIME format. 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However, because of the> gravitational influence of Titan during the flyby, Cassini's orbit is modified> such that apoapsis on the new Saturn centered orbit occurs prior to the Titan> encounter, on an orbit different from the one Cassini actually flew. For orbit> 107, on DOY-87, Mar. 28, Cassini is now at the closest point to Saturn in that> orbit.  The above scenario is unique in the history of the project and will> not occur again before the end of the extended mission. The fact that> Cassini's orbit about Saturn is very nearly circular at this time is what> enables this rather curious sequence of events.Saturn-centered geometry pertaining to Titan-51's 180-deg apsidal shift isillustrated in the attached CassiniVsSaturn GIF.  The viewpoint for thistrajectory plot is nearly normal with respect to Cassini orbit planes beforeand after the Titan-51 flyby.  Note Saturn's north pole, just visible fromthis perspective and emerging from nearly 15 Earth years of winter darkness,is pointed downward.The attached CassiniVsTitan trajectory plot is also viewed from nearlynormal to the Cassini plane of motion, but in a Titan-centered referenceframe.  In this case, Titan's south pole is visible and pointed downward.Periapsis height for this flyby is planned at +960 km.If Outlook won't download these GIFs, remember that NASA WebMail will.-Dan--B_3355039787_2315825Content-type: text/html;	charset="US-ASCII"Content-transfer-encoding: quoted-printable<HTML><HEAD><TITLE>Curious Cassini Conundrum</TITLE></HEAD><BODY><FONT FACE=3D"Verdana"><SPAN STYLE=3D'font-size:12.0px'>ATIG Members-<BR><BR>In reading March 12's issue of <I>Cassini Significant Events</I>, a weekly =JPL PAO newsletter, I ran across the following riddle.<BR><BR></SPAN></FONT><BLOCKQUOTE><FONT FACE=3D"Verdana"><SPAN STYLE=3D'font-size:12.0p=x'><B>Thursday, March 5 (DOY 064):<BR></B></SPAN></FONT></BLOCKQUOTE><FONT FACE=3D"Verdana"><SPAN STYLE=3D'font-size:=12.0px'><BR></SPAN></FONT><BLOCKQUOTE><FONT FACE=3D"Verdana"><SPAN STYLE=3D'font-size:12.0p=x'>How is it that at one moment Cassini can be found nearly at apoapsis, the= farthest point from Saturn in an orbit, and within a day, be at periapsis, =the closest point to Saturn in an orbit, when its orbital period is around 1=6 days? &nbsp;Well, it is happening at the end of March this year. &nbsp;On =DOY-86, Mar. 27, the Titan 51 targeted flyby will occur. &nbsp;Just a few ho=urs later, apoapsis and the start of orbit #107 would have occurred. &nbsp;H=owever, because of the gravitational influence of Titan during the flyby, Ca=ssini's orbit is modified such that apoapsis on the new Saturn centered orbi=t occurs prior to the Titan encounter, on an orbit different from the one Ca=ssini actually flew. For orbit 107, on DOY-87, Mar. 28, Cassini is now at th=e closest point to Saturn in that orbit. &nbsp;The above scenario is unique =in the history of the project and will not occur again before the end of the= extended mission. The fact that Cassini's orbit about Saturn is very nearly= circular at this time is what enables this rather curious sequence of event=s.<BR></SPAN></FONT></BLOCKQUOTE><FONT FACE=3D"Verdana"><SPAN STYLE=3D'font-size:12.0=px'><BR>Saturn-centered geometry pertaining to Titan-51's 180-deg apsidal shift is =illustrated in the attached CassiniVsSaturn GIF. &nbsp;The viewpoint for thi=s trajectory plot is nearly normal with respect to Cassini orbit planes befo=re and after the Titan-51 flyby. &nbsp;Note Saturn's north pole, just visibl=e from this perspective and emerging from nearly 15 Earth years of winter da=rkness, is pointed downward.<BR><BR>The attached CassiniVsTitan trajectory plot is also viewed from nearly norm=al to the Cassini plane of motion, but in a Titan-centered reference frame. =&nbsp;In this case, Titan's south pole is visible and pointed downward. &nbs=p;Periapsis height for this flyby is planned at +960 km.<BR><BR>If Outlook won't download these GIFs, remember that NASA WebMail will.<BR><BR>-Dan</SPAN></FONT></BODY></HTML>--B_3355039787_2315825----B_3355039787_2319039Content-type: multipart/appledouble; boundary="B_3319782248_16032145"--B_3319782248_16032145Content-type: application/applefile; name="CassiniVsSaturn.gif"Content-transfer-encoding: base64Content-disposition: 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