User-Agent: Microsoft-Entourage/12.36.0.130206Date: Sat, 15 Jun 2013 10:36:07 -0700Subject: Rendezvous EndgameFrom: Daniel Adamo <adamod@earthlink.net>Message-ID: <CDE1F41A.11F9E%adamod@earthlink.net>Thread-Topic: Rendezvous EndgameThread-Index: Ac5kdxsqqOwRUT0kA0CUJGmyFznJQAFd7XWnMime-version: 1.0Content-type: multipart/mixed;	boundary="B_3552815443_4363657"> This message is in MIME format. Since your mail reader does not understandthis format, some or all of this message may not be legible.--B_3552815443_4363657Content-type: multipart/related;	boundary="B_3552815443_4411379"--B_3552815443_4411379Content-type: multipart/alternative;	boundary="B_3552815443_4370441"--B_3552815443_4370441Content-type: text/plain;	charset="US-ASCII"Content-transfer-encoding: 7bitATIG Members-About 8 hours before ATV-4 docked with ISS at 7:07 AM PDT on June 15, theattached image was obtained from my home south of Salem, Oregon.  Bothspacecraft are recorded moving southeastward past the star Deneb in theconstellation Cygnus.  The 30-second exposure began at 11:14:42 PM PDT onJune 14 with ISS leading ATV-4 at a point near its closest approach toDeneb.  For those unfamiliar with constellations, I've "connected the dots"for Cygnus, alias The Northern Cross, using faint gray lines.Note how much closer the two trails are to overlaying each other in thislate phase of rendezvous than they were in the image obtained a weekearlier.  Because ISS elevation above the horizon is similar in both images,about 40 degrees, the ATV-4 trail has shifted closer to that of ISS in thelater image due to its increased orbit altitude.  This is a typicalsignature in "rendezvous from below and behind" operations.  In the endgame,the spacecraft about to dock with ISS progressively reduces its catch-uprate by incrementing its orbit altitude to more closely match that of ISS.By carefully timing these increments, ATV-4 achieved an altitude match justas it caught up with ISS, allowing docking operations to proceed safely atlow relative speeds.Yet another faint unidentified satellite trail is visible in the attachedimage.  For scale, assign angular distance d to the apparent separationbetween Deneb and the star Gamma Cygni at which the two Northern Crossmembers intersect.  From Gamma Cygni, proceed in the 4 o'clock directionabout 0.7 d to the trail, which is about 0.2 d in length.  Because the trailis so short compared to those of ISS and ATV-4, it's undoubtedly from asatellite at much higher altitude.Congratulations to ESA for a successful (and picturesque) rendezvous anddocking with ISS!-DanFrom: Daniel Adamo <adamod@earthlink.net>Date: Sat, 08 Jun 2013 11:36:36 -0700Conversation: Highway In The Sky (Speed Limit: 7.7 km/s)Subject: Highway In The Sky (Speed Limit: 7.7 km/s)ATIG Members-The attached photo was taken from my home looking north toward the city ofSalem, Oregon with the state capitol about 10 km away, so please forgive alittle light pollution.  It shows an early stage of the European SpaceAgency's (ESA's) Automated Transfer Vehicle-4 (ATV-4, christened AlbertEinstein, see http://esamultimedia.esa.int/HSO/Publications/ATV4-EN/)rendezvous with the International Space Station (ISS).The photo's exposure began on June 7 at 10:28:59 PM PDT when only ATV-4(dimmer, lower trail) was in the camera's field of view, and exposure wasterminated 55 sec later when only ISS (brighter, higher trail) was in thefield of view.  Because the two spacecraft are orbiting in nearly the sameplane with ATV-4 at a slightly lower altitude and higher speed, their trailsare parallel but displaced during the exposure.  Orbit motion among thestars is down and to the right in the photo, which shows a maple and a firtree in silhouette against Salem's sky-glow at bottom.  There's also a veryfaint trail at lower left running nearly perpendicular to that of ISS, but Ihave no idea what Earth satellite caused it.For those unfamiliar with constellations, I've "connected the dots" for UrsaMinor, alias The Little Dipper, using faint gray lines.  The star at the endof the Dipper's handle, and closest to the end of the ISS trail, is Polaris.Launched on June 5 at 2:52 PM CDT, ATV-4's docking with ISS is planned forJune 15 at 6:46 AM PDT.  The attached June 7 PDT photo catches ATV-4 justafter it had "lapped" ISS and moved ahead of it in orbit.  On the previousPDT evening, ATV-4 was on the other side of Earth from ISS, making a singleexposure capturing both spacecraft impossible for Earthbound photographers.The following table shows daily differences in the times ISS and ATV-4appear in Salem's sky after sunset.  This Dt is reckoned by subtracting theISS time from the ATV-4 time for a particular PDT evening, so a negativevalue implies ISS trails ATV-4.  The concept of trailing or leadingdegenerates near +45 min or -45 min Dt when ISS and ATV-4 are on oppositesides of the Earth.PDT Date   Dt (min)June 5     +10June 6     -44June 7     0June 8     +44June 9     -11June 10    +40June 11    -3June 12    -43June 13    +16June 14    0From data in the foregoing table, ATV-4 can be inferred to pass beneath ISSon multiple occasions at roughly 2-day intervals prior to about a day beforedocking.  If you're interested in sighting opportunities for ISS, ATV-4, orvarious other satellites from your location, point your web browser athttp://spaceflight.nasa.gov/realdata/sightings/index.html to obtainpredictions.Wishing you clear skies!-Dan--B_3552815443_4370441Content-type: text/html;	charset="US-ASCII"Content-transfer-encoding: quoted-printable<HTML><HEAD><TITLE>Rendezvous Endgame</TITLE></HEAD><BODY><FONT FACE=3D"Arial"><SPAN STYLE=3D'font-size:10pt'>ATIG Members-<BR><BR>About 8 hours before ATV-4 docked with ISS at 7:07 AM PDT on June 15, the a=ttached image was obtained from my home south of Salem, Oregon. &nbsp;Both s=pacecraft are recorded moving southeastward past the star Deneb in the const=ellation Cygnus. &nbsp;The 30-second exposure began at 11:14:42 PM PDT on Ju=ne 14 with ISS leading ATV-4 at a point near its closest approach to Deneb. =&nbsp;For those unfamiliar with constellations, I've &quot;connected the dot=s&quot; for Cygnus, alias The Northern Cross, using faint gray lines.<BR><BR>Note how much closer the two trails are to overlaying each other in this la=te phase of rendezvous than they were in the image obtained a week earlier. =&nbsp;Because ISS elevation above the horizon is similar in both images, abo=ut 40 degrees, the ATV-4 trail has shifted closer to that of ISS in the late=r image due to its increased orbit altitude. &nbsp;This is a typical signatu=re in &quot;rendezvous from below and behind&quot; operations. &nbsp;In the =endgame, the spacecraft about to dock with ISS progressively reduces its cat=ch-up rate by incrementing its orbit altitude to more closely match that of =ISS. &nbsp;By carefully timing these increments, ATV-4 achieved an altitude =match just as it caught up with ISS, allowing docking operations to proceed =safely at low relative speeds.<BR><BR>Yet another faint unidentified satellite trail is visible in the attached i=mage. &nbsp;For scale, assign angular distance <I>d</I> to the apparent sepa=ration between Deneb and the star <I>Gamma Cygni</I> at which the two Northe=rn Cross members intersect. &nbsp;From <I>Gamma Cygni</I>, proceed in the 4 =o'clock direction about 0.7 <I>d</I> to the trail, which is about 0.2 <I>d</=I> in length. &nbsp;Because the trail is so short compared to those of ISS a=nd ATV-4, it's undoubtedly from a satellite at much higher altitude.<BR><BR>Congratulations to ESA for a successful (and picturesque) rendezvous and do=cking with ISS!<BR><BR>-Dan<BR><BR><BR><HR ALIGN=3DCENTER SIZE=3D"3" WIDTH=3D"95%"><B>From: </B>Daniel Adamo &lt;<a href==3D"adamod@earthlink.net">adamod@earthlink.net</a>&gt;<BR><B>Date: </B>Sat, 08 Jun 2013 11:36:36 -0700<BR><B>Conversation: </B>Highway In The Sky (Speed Limit: 7.7 km/s)<BR><B>Subject: </B>Highway In The Sky (Speed Limit: 7.7 km/s)<BR><BR>ATIG Members-<BR><BR>The attached photo was taken from my home looking north toward the city of =Salem, Oregon with the state capitol about 10 km away, so please forgive a l=ittle light pollution. &nbsp;It shows an early stage of the European Space A=gency's (ESA's) Automated Transfer Vehicle-4 (ATV-4, christened <I>Albert Ei=nstein</I>, see <a href=3D"http://esamultimedia.esa.int/HSO/Publications/ATV4-=EN/">http://esamultimedia.esa.int/HSO/Publications/ATV4-EN/</a>) rendezvous =with the International Space Station (ISS).<BR><BR>The photo's exposure began on June 7 at 10:28:59 PM PDT when only ATV-4 (di=mmer, lower trail) was in the camera's field of view, and exposure was termi=nated 55 sec later when only ISS (brighter, higher trail) was in the field o=f view. &nbsp;Because the two spacecraft are orbiting in nearly the same pla=ne with ATV-4 at a slightly lower altitude and higher speed, their trails ar=e parallel but displaced during the exposure. &nbsp;Orbit motion among the s=tars is down and to the right in the photo, which shows a maple and a fir tr=ee in silhouette against Salem's sky-glow at bottom. &nbsp;There's also a ve=ry faint trail at lower left running nearly perpendicular to that of ISS, bu=t I have no idea what Earth satellite caused it.<BR><BR>For those unfamiliar with constellations, I've &quot;connected the dots&quo=t; for Ursa Minor, alias The Little Dipper, using faint gray lines. &nbsp;Th=e star at the end of the Dipper's handle, and closest to the end of the ISS =trail, is Polaris.<BR><BR>Launched on June 5 at 2:52 PM CDT, ATV-4's docking with ISS is planned for =June 15 at 6:46 AM PDT. &nbsp;The attached June 7 PDT photo catches ATV-4 ju=st after it had &quot;lapped&quot; ISS and moved ahead of it in orbit. &nbsp=;On the previous PDT evening, ATV-4 was on the other side of Earth from ISS,= making a single exposure capturing both spacecraft impossible for Earthboun=d photographers. &nbsp;The following table shows daily differences in the ti=mes ISS and ATV-4 appear in Salem's sky after sunset. &nbsp;This <I>Dt</I> i=s reckoned by subtracting the ISS time from the ATV-4 time for a particular =PDT evening, so a negative value implies ISS trails ATV-4. &nbsp;The concept= of trailing or leading degenerates near +45 min or -45 min <I>Dt</I> when I=SS and ATV-4 are on opposite sides of the Earth.<BR><BR></SPAN></FONT><SPAN STYLE=3D'font-size:10pt'><FONT FACE=3D"Courier New"><B>PDT =Date &nbsp;&nbsp;<I>Dt</I> (min)<BR></B>June 5 &nbsp;&nbsp;&nbsp;&nbsp;+10<BR>June 6 &nbsp;&nbsp;&nbsp;&nbsp;-44<BR>June 7 &nbsp;&nbsp;&nbsp;&nbsp;0<BR>June 8 &nbsp;&nbsp;&nbsp;&nbsp;+44<BR>June 9 &nbsp;&nbsp;&nbsp;&nbsp;-11<BR>June 10 &nbsp;&nbsp;&nbsp;+40<BR>June 11 &nbsp;&nbsp;&nbsp;-3<BR>June 12 &nbsp;&nbsp;&nbsp;-43<BR>June 13 &nbsp;&nbsp;&nbsp;+16<BR>June 14 &nbsp;&nbsp;&nbsp;0<BR></FONT><FONT FACE=3D"Arial"><BR>From data in the foregoing table, ATV-4 can be inferred to pass beneath ISS= on multiple occasions at roughly 2-day intervals prior to about a day befor=e docking. &nbsp;If you're interested in sighting opportunities for ISS, ATV=-4, or various other satellites from your location, point your web browser a=t <a href=3D"http://spaceflight.nasa.gov/realdata/sightings/index.html">http:/=/spaceflight.nasa.gov/realdata/sightings/index.html</a> to obtain prediction=s.<BR><BR>Wishing you clear skies!<BR><BR>-Dan<BR><BR><IMG src=3D"cid:3454137370_15226729" ></FONT></SPAN></BODY></HTML>--B_3552815443_4370441----B_3552815443_4411379Content-Type: image/jpeg; name="image.jpg"Content-ID: <3454137370_15226729>Content-Transfer-Encoding: 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P/QwCEhIL/gwNDhALEAoPCwwMCgwMDQ38DAAQ/QwMCgwMCgsNDQcPCwsNDf4LAwcLCwf7CwgJBgoMDQcLCwYCI4H/uf8LEhINEhEREg4VDxMW/hEhFBISFBASEg4OEhYUDw8UDw4aEg8PEA8XFw8TDw8TFw8PEvsPBBAODxIN+RASDhAOEBARCw8QEA4OEA4KDA4PD/4RCg8NCxASDw8RDwwR/QwHDgwQCxAMEBD+DPwN/gsHDQoNDBASDgz9DQAM+w0bCw0MDAoNDQsNDQwHDgsNEQoLCw0NDAgLEQcMDvsMEQgMDAoODgoMDgwODAwOCgcUCP0MDA0SEREQEhIQExMRExX+ERMTERETDxETEQ8SFhQODhISERgSDv4PCRYYDhMPExIZDhP6DwMRDw8R/Q8BEw/+EBAOEA8PEw8PExEQEA8ODg8OEP0PARAQ/g4JEBAOEBAOEA4KD/4OAQ8O/hAEDg4QDg79DwQKDgwLC/4OFRUMDw8OCw8PCw8PEQ0QCxIPCwsMDA3+DP4NAQwS/gwFCxAMDQwS+gz2DQ4MDgwLDQ0LFQsNCwsNDQ/9EgkNEhIUDhIVERIN/hIeFA4SEg4PEhYUDw8TDxIYEg8QEA8ZGQ8QEA8SGQ8QEP4PCg0QDxAODxEPEBAP/BABDhD+DwEQDv4QCQ4QDw4ODBAQDg/+EAEOCv0PDA4PDxALDAsPDgsQDRH8Dx4MDgsQDAwLDwoMDAsLDxUNDA0NDBALCxAMEA4MDBIL/gz5DQEMEvwMBA0LDBIK/g0BCwv+DQYLCw0LDg0L/Q0FCw0NDAkV/QsBDQ4CF4H/uf8KERIRExEXERIQDg3+EQsTExISFA4ODw8TDAz+DwQODhIREvsO/Q8CEBQO+A/+EAENEP4P/hApDg0QCQ4QEAsLDhAKEBIQDhQQDhAOCgsPEQ8LDAsPDw0LCwwMEAwOCxAN/Qv7DAQODAwaDv4N+QwFDQwODA0N/gsHDRAQDAwNCw3+CxsNCgoQDAsLDw0LDAsTCg0LCw0KCAwKCAgOBwwH/gwXCw4HDAwKBxoKCw0MDggRERMXFBgQExMN/REVExMRExURERIRExAMDg4SERMTERIOEv4NBg4ODw4SERT+Dv4PAxMPDxP6DwMVDxAQ9w8NEA4PExUMEw8PFxEPEA/5EP4OABH+EAcODhAPDw4OEP4OHw8OEA4OHRAPDxEQDg4PCw8LDwsLEQ8OEQsMDA0REQ8Q/QwADf4MDAsSCwwQEQ8LDAwSDA7+DP0N/gz9Df4MARAM/g0CCyIL/A0KDxINFBEZERMSDhL+ERMUFBIUFg4SDg8TDQwPDhIOEBQREv4OAg0ODv0PAhIWDvkPAhIQEPwPAxMPEBD8DwIQEA7+EAkOEA8TDRQQDhYR/RAADv0PBBERCgsN/g8DEQoPD/4OAQwP/gsKDw8NDAseDRAQDhL+C/wMBAsREAsQ/QwEEhILEAr8DRsMDAsSCwwQEgwMDQwSDA4MCgwNCw0NCw0NCw0L/g0BDA/+CwQNCigKC/4NAAsCIoH/uf8AEf4TGBISExESEhQWDQ8RDg8REBIQEw4SFSQNEBT8EhQQEhwUEQ8TDxIPERMOExcRERMREhL8DwMUDxQP/RACERYR/hAKDhEODhAQDxEVDQ7+ECAPDw4RDQ4MDA4PDxEPEA4ODQ8RDQ0SEg4QEAwQEAwLFAz+CwAM/Q0ADP4OBRAMDQwODPwNBgwLDRIMDQr9DQsLFAsODA0LCw8NDQv+DQcPDQsODAwNDv4N/gwWCA0HDgsMCA4NCAoNCwwICxATEhITFBL+ERMTFRIOExITExETERIPExQnEBMTEf4TBxQPEx0WEhMV/hAFEhIOFBYS/hABERH+DgQRDxERE/wPAxMXEQ/8EP0PARMX+w8DEA8UD/gQCw4OEA8UDhAREhASEv4QCw4MFAwOCwwMDg4QEf0PEhENDxEODw0PCw4LDQoOEQsODA7+DAkNFQoUDQwMDRMN/AwCEBIM/Q0CDA8M/Q0BDA/+DP4N/gv+DP4NDhITExAVEhEREBIVEg8REP4PCxQQEg4REiQPEhQSEP4SDhARIBYQEREPEQ8QEA4VF/0RAxAQDg7+DwITERH8DwMTGRMP/BD9DwQRFQ0ODf4PCw4MEg4ODA8MDg4REf4PEw4QFAwMEBEMExMNERENChcLCwoM/gv+DgkQDQ8RCwsODg0L/QwDDgsNEv0MDQ0NDAoXChILDAwNEgwN/QwCEhQM9A0ADPwN/gv+DAELCgI0gf+5/wAW/RIBFBL+Ex4RERMqGxATERMRFBIRFRQMExISFBATDhESFBMTDQ0S/g8ODhIODg8SDg4SEhgQDhIS/A8AEP0PBxMPDxAQDxAN/g8EEA8PEA78EBIODgoPDQwLDw4ODw0LCw8RCg8P/gsADf4MBxAQCxELDBAS+QwGCwwICQwQDP0NAwwOEgv+DBgRDA0MDAsaCwwMDQsNDQsLDQsLDQsLDQsL/g0XCw0NCwsMCAkMDg4MDAsMEAwLDQwICBYU/hIBFhL+ExAQEBMnHw8TEBMRExIQFBQPEv4TDhETERMRFBISDQ0RFBIOEv4RDQ8SEhQRExwUERUTDhMT/Q8HEQ8OEg8PEBD+DwIOEg7+DwQTDxAPEfwP/RAADv4QEw4OEA8RDRAQDxAPEA4OEBIODhQN/hAQDhAQDwsPEQoODA0HERAPChH+DwgREQ4QDQwQDhD+DAMdCg0R/gwFEgwMDwwN+wwBDQ3+DP0N/gz9DQkMCw8LDBAMDQ0X/hMCEBQS/hMQERETJBwRExETERMSERQZDBP+Eg0QEg4QEhMSEw0SEhASDv4SDQ0PEg4RExIcFBETEQ4T/g8PEA8RDw4UDg8QEA8PDQ4VDv4PBREQEA8RD/4QAA7+EP4OAhAODP4OAw8NEBD+DjQMDwoPEg8OEw4PDxELDxAMDA8RCw8MEAoXFQsPEg4MDBARCw8MDBEMDQwMDiIKDBIMCgwQDP0N/Qz2DQAL+w0IDAsPCwwSDAsLAh+B/7n/IRIUFBISFBITEhUTExESEBIVFRMTEREQHwwREg0RExAODhD+DhURExwMEg4TEhIUEhQUDhASDQ0SDSES+g8DEQ8TD/4MBg8PFg8PGg39EAMOEA4O+xApEQsPEQ4ODw0SCw8TDxEPDxIPDhAMDA4MCxEPDAsLEAwSCwsPDhAMC0QN9wwLEAwNCgsMDQ0RCwwM/A3+CwQNCw0LC/0N/Qs1DQsNCwwMDQgKDAgIDgweCw0LDgwPERQUEhIWFBISFBUSExIQERQUEhMRERAgDxIQEhMTEREN/hMHERETGg8TERH+EyIRExINFBEQEBEMJBESDg8PEw8PFQ8TDwwLCw8PFxASHQ4QEPwPARMV+g/6EBIODxYPEBAOEA4QEA4QEA4NFA8N/g8iDRIJCg0QDw4NSAsKEBAODwsPDw4OEA4RCQoNDwsPDwsLEBD5DAAN/QwBDgzxDToMESINEAwMDQ0QEhQTEhYUEhIVExETEw8QExUTExESDCMLEQ8NERMREg4SDRENERIWEBMRERQTFBIUFP4OBg0NEwwoEw77DwMVDxMP/gsIDg8WEQ4fDhAQ/g8DEA8RE/0PORAPEBAOEA4OEBAOEBYNEBAOEA8NEQsPDg4KEBAODhAQDhEKCg4RDwsNUAoJDw8LEQ0MDA0PEQoOCQr+DAAQ/gsDDBAMDf4MAg0NC/0N/gwCDQ0L+Q0NCw0NCw0MESANEgwMDQ0CFoH/uf8BFBT+EgAU9xIIFBIQExAREhQU/RMWERMSEhQSEBIRGSQNFRMMEwwSERMSEBL+ExIVDw4QDxEPDxMPDxEODg8KPhYK/g8CEQ8P+xAADP4OAg0WDfwQCQ4OEA4RDBAOCg/+DgMKDwsL/Q0KDw0NEA0PDQsLGg3+DAIJJgj+DP4ODgwMDgwMCxMeCQ0JCgwMC/sM+A0GCg0NCQsNDf0LAAz+CgAM/QoHCAoMCwkLDQf+FP4S/hT6EgMWEhQU/hI4FBQTFRUTERMRExMSExMSFyQPGRUPFhETERURDxQTExYWEQ8REBIOEBMRERINDg8MRxsNDhMOERIO/g8CEg8S/A8AF/4RAA/8EAIPEhD+D/0QAQ4S/Q8XEBAPDxAUDxYPEBAhERAODAsmCw4QDhAR/g0VEQ8NDxUgCRANERENCgsLDg4MDgwMDv0MBhAOCw4MDA3+DPcNCwwKCQkLDAwNDQsUFP4SAxQSEhT8EhITExQSEBIQERIUFBMVExMRExEU/RMNERYiDxcVDRYNEhETEhD+FQEUFP4PBhARDxEXDw/+DgoPCUscDQ8PDhIQD/sQ/A8CGA8S+RABEhD+DzMQDhAQDBEMCw8NEA4QDhAUDhYOCwwjEAwPDQcgDQ0PCw0RDQwMEQ8NCxYiBhAJDQ0LCwwL/gwCDg4M/Q39DAMODA0N/gz8DQAL/Q0JDAsJCgsMDA0NCQINgf+5/wQSFhQUEv0UABL9FP4SBRUSExUTFP4S+xMTERMVExETEQ8SFRUQJBEUEQ8UEhD+DgQQEg4PD/4T/g8MERsPEg0KHQ0PEA8TD/0QAg8PDf0QAg0QD/gQGw4OEBEPDw4OEBAPDhQXDRIPDxESDAsRDxAPCwv9DBwJDgsMEAsQDBAQDAwNCxUgAhsXCQwUDxYMDBAQDPoNBgwRDA0NDg78DQMLCw4L/g0LDgsQJQoODQ4LDg4S+hQAFvsUBxIUFBISFhIU/BL+EwYRERUUExMS/hEPFBILKgsTERMVEw8REg4PFPwSEhQODw8SHw4VCwkeDhIPDxUSDhX9DwAO9w8AEP4PABD+D/wQAA7+EAQPFxcPEP4PJBANDw0NEA8IDxAOEA4LDg0PEAoREQ8PDQsLDRkpBh8WCQsXEBX+CwEPDv4MCA4QEAwLEQ8NEP4MABL1DAISJAn7DQAS+xQBEh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GRsaGSEsGRsZGhoZHhsXGRYX/hgEGSoXGRn8FwoYGRweFhkaHx4VGP0W/RgBFhb+GP0rGCctKSsrJyswKiooJiklKy0pKigmJykkJif+JgEoJPkmAiMpIf4kByYkIiQgHyMj/iEKIiIgISAjHyQgISP+IAgkJCIiICEjHx/+ITUfISEgHxYubl0ZHCIeHhwgJB4dIR4cHR8dGx0eHh8aHRobGxweGh4aHBoZHBobGRkbGxkbGxn+GgEYGP4aBRkYICgXGv0YER4cGBoXFhYZFxcpExoYGBcXFf4WFRsdFxkfHh8WFxcVFRYXFxUZFxUXFxkCU4H/uf8CLzIx/SwDLS0rKf4qDzMqMCkqKigsLCgnJykpJyf9KAAm/icBJSX+JwImJCX9IwYnJSgkJCEm/iQEIyAnICH+IgkkHiMmICQhISIe/iEBIyP+IR8eJR0eHR8JJ3oIFB4hHiMhHR0gIBwdHRscHR0bHBsoGf4aOxsYGxobGR0jGRoaGRwYGB4cGBYbGRcZGhsXFhgWFBYaGBYYGBYVFhwdHxcYGhQXFxkVExcdGxcXFhsqE/4XABP+FAQWGhYWFP4WCRQSFhgsMCwtKy/9Kx0qKCooMSssKiooKCkrKScnKScnJiYkJiclJyYnJSX+JwMjKCQl/iQCJyUp/iMXJSMkJCUgJx8iJCAiJB4iJyMiJSMhIiAg/CIkIB8kICEfIAklgQkUHyAdIiIdHh4jHR0fHR4gHhwdHCkaHxsbHf4bBRwcGyQZHPwaBB4eGhwd/hkSGxsYGBkWFhgcGhccFxoZGxwgIv4aFhUYGhkXFxkhHRcaFRwlFhUYHBYYFhgW/hgSFhgWFBcUFhYqLiorJyopJysnKP4mBDEqKScp/Sc6KCQkKCgnIyQmJiMmIyYiJiYoJiQjJSQkICIjJyYnIyEjIyEjIR8fJB8fISEfIB8fJB8hIR8iICAhIR/9ISEeJR4fHR0IIH4HEh8hGyMhHB8dIRkcHhwbHx8bGxonGh0b/hoSHBwaHB4kGhsZGRsZGRsdGRkaGv4YKBoWFxgXFxkaGRcbGBYYGRshIhgZGRYYGhkVFhcfGxYYFhkhFRUXGxUW/hUKGRkXFRcXFRcVFRcCTYH/uf8dMDEtLC0rKy0qLygpKykrKScpKSooKiooKScpLSsl/SgAJv4nBiUlJycjJiT9Jf4jGSEjJSUjJCIkIiInHCcnIigeLB8gHyIjIiIg/iElHyEhHyIdKB0gISAdDUKAFA4cHSUfHB4cHiAcHxscGRscGhsdGR3+Gw0ZHBwaGxgXGRkbGxoYFv4aKBgXFxoXFxsVFhgXGhgXFRUXFhQYGCIZGRUVGhgWFhkVGBMWGREYFBMR/hQEGBIUFhb+FAoWEhYWFBMRFRIsLf4rDiwpLiswKCkrKi0pKScpKv0oByknKS0pKCgm/ScMJiklJScnJSYmJCQiJv4kGSIiJSUjIyYkIiInIiooICkgLx4jICMlISQg/SIAH/4iJR8qICEgHyASPZAbCR4eJiAeHx4gIB4hHR4cHB0bHB4cHR8dGxsd/hsPGRgcGhwcGhsaHBwaGhsZHP4ZHBgaGhgcGBkXFx4YGxgbIxgZFRgaGBcXGRUaFxYd/hczEhQXFhUZFRgWGBgWFhgWFhkWFxcZFy0rKykoKigsKy4mKSsmKyYlKCgnJykpKiYoJiooI/0mACj9JgMkJiYk/iMBJCL+JQUhHyIkIiH8IxMmISgpICceNBwiISMnHyQgIiAfH/0hGB4pHh8hIB8RPZEcCh0fJyEcHR0fIx0gHR39GwgaHRoeHhwaGBz+GwIZGBr+G/4Z/hsRGRoYGxgYGhcXGRYbGBgWFhsW/hkTIRgXFhYZGRcZGRgYFRUcFRgWFRX+FgEYFP0X/hYCFRcX/hUBGBUCQYH/uf8aLS8pKykqKysqMykqKSknJykvKyknKiooKCcp/icCKScl/SYAJ/wlDiYkISEnJCclIyklISUjI/4iDyQjHiEgJCYcPR8iICIfIB/+IAgeIR4hHx8dHx3+HxIeGwxAmj4OFSYhHh0cGyAbHBsZ/hsFGhsbGRgY/RoNIBwbGRsZGRsXGRsaGBj+GgcUFiMfFhUXGf4XDRUfHRsWFhgWGRIYFhga/hYLFBUVFxUVExUVGRcV/hT9FhgUEhgWFBQWFBUTFRUsLSsqKCorKSs0Kikr/SkHMSspKCwqKCj7J/smACf7Jf4jCCckJiQiKScjJf4jACH9IhIhISInGUAgIyEhIB4jHyIhISMh/iL+Hw0gISEfHA47n04NFyYfHf4eAyIeHRv+HAEaGv4cCBoaGxkbHR8fHf4aBhkbHBgaHBj+GgcdGRUsHxkXF/4ZExcXIRsbFRgWFxsVGhoYGhgZFxkV/hc9FRcZGRwXGhgYFhgYFhgWFBoYFBQYFhcVFRcoKCkqJSgnKCkwKCgqKCklJjAsJicrKyclKCgmKCgnIyMlJiH9JB4mJiQkJSIgJyMnJSEoJiEmIiAgIyEjIR8cICIpGUYg/iEHIB8hICIgICP+IBchHiAeHx8hHx0LOJlNDhYlHh4dHRwjHBz+Gv4bBR0cGhkZHP4aCB8hGxocGhocGv4b/RkjGxcULyIXFhgaGBgWFiAZHBYXGBgaFhsZGx0XFxsVFBgYFhYV/Bj9FgAX/hYDFBoZFf4XAxUTFhYCT4H/uf8iLS0yKz4yLC4sKy8uLCkrKy0sKispKykrKSgpJycpKykqKCb+KAsmKScpKSclKzojJiL+JAslIyUnIyYkJiQkIiX+I/whBiA3IiEkJCD+Iv4hAB/+IRwfISIiHRITSmEaFxweHx0fHSAeHRseHhscHR8hGf4cGRocHBkcGB0fHRsdHRsbGhocGxwaGRgdGBsb/RkJFRsYFxgVGBwYFv4YEBYYGBoYGRUVGRcZGRMVFRcX/hg0ExYYFhgWGBQWFBYUFhcTLi0vKkE0Ky0rKiorLSspKSwqKywqKikrKigpJycpKykoKCYoKCb9JwUpJycpOCP9JgEkIv0lLCYkJiQiIiYkIiMgIyAjIx8+JSIjIyEjIyEkICAiJCIiICAlIyASEUtpHRsfIP4eFyAgHx4aHx0eHx4gIh4fHR0bHR8cHR0eIP4e/hwpGh0dGx0bGRsdGhsdGRsdGRkdGhgaGRocGBgaGhgaGBgaGhkZFxoXGxkV/hccGRcZGBYYGhgaGBgXFxYYFxUXFSwqLydDNicrKSf+KhEmKSksKiorKScmKykoJiYpJin+JwImJij9JgokKCYnJjMiJSEjJf4jAyYoJCX+IwYhISgjIyEf/iEvIx8+JSEgIiAiIiAjIyEgIyAjISEjJB8SEEtkHRofIB4fHh4fIB4bIB4cHx0gIxsd/Rz+HQIaHB79HAMaHRkc/hsBHBj+GQccHBoaHBgYHP4ZHBgYGhkXGRkYFxkXGRcYGBYYGBocExUVGBgWGBYW/RgBFhb+FQQXFRUWFAJFgf+5/w4tLy0xKyktMiwtKy0sKi39KlQrKykqMyosKCclKSknJygmKCcoKCYoJyUnJiYiISYmJCYmJSMjJSMjJSEmJCQiICMhICQjISEgOSQhIyEhIh8iIh4hIiUeIR8hHx0gHhgWGZhXCh0h/h8fHR4aFzwnGhkbHR0fGxwaHBwaHB4bGRoaGRsZGRsaGBr+GQkbIBcaHBgYFhgZ/hcCHCcZ/BYRGhYYFhQaGBcVFRcVFRcTKh0X/hX9FhQUFhMWFBQWFBQWFBEsLCguJyksLyz9Kg0oKystKykpJygrMSkoK/4nGSgmJygmJigoJiYpJSUnJSQkIyYmJCYmJCUl/CMAJf4kFyIkIiImIiAgITojJCIhISMhISQgICMjH/4i/iASIh0VGJpiCxkgIB4eIB4fGT0oG/4cBRsgHBwdHf4bBx0bGxkbGRwZ/hwOGhgZGRoeHhoaGxsaGBkb/hkDHicaGv0YABr9GBAcGhoZFxkXFxkXNR0XFxkZF/wYAhYYFP0W/hcKLCwoKyckKi0rKCj+KhsoKComKCklJSksJiUoJCUkJiQmJyUlIyYkJigi/iQGIiIhJCQhI/4k/SIEIyEjISX8IRUlISEfIDolIiMgHiIeHiMcISIkHiIg/B8fHBYVlmQIHCAeHyEeHx0YOSYaGxocHB4dGxscHBkbHRz9Gg4cGBobGRkXGRcZHB8ZGxv9GSEaGhgYHSYZGxgbFxcZFxkXGRsZGRgWGBUXGBM6HBYWGBYZ/RYGFxQZFxUXFf4XABYCRIH/uf8JLDEsLSsuLy4qLf4rACz+KgInKyv+KEEsKikqKCsmKCgmKSUnJyklJSYlIigmJSYkJiYjJiQkISMlIyEjJSEhIyYgJSAiJiIeIiEdHyEfIyEjISEiIiEeJCD8IRMgHiAfEguCRA0XHB8dHx8eGxYYHP0bBB0bHBwY/BoEFhsbGRf+GQMXGRoX/hkIGhUaGhgaIhYZ/hcFFRcYFRYa/RYiGBgUFhYUFxQXFxUVFhUTFhIVFRMVFRMRFhUUFhQWFBIUFhX+Lv0tAisrKv0s/iobKCosKScpLSkoLCgpKCorKSklKCcsJSgmJyQoJv4lICMkJCYlJiQkJSMlIycjIyUkISYhIyUjJCIhICAiIiQiIv4hEyAgISUfIiIgIiIgIR8eEwiCTgwY/h4OICAeHRkZGx4cHB4eHBwd/hv+HQIbHBz8GwQaGh0ZG/0aBRsZGRojFv0ZBRoaGBkYGvwYBhwYGBoYFxf9GQYXFRMZFxcW/hf+Ff0YExYWGBYXFSouKigrLDAsKScqKiss/igbJioqJSkoKysnKiYnJiooJigkJycoJCQmJCImJP4jVCEjJSMjIiAiJiIgIyUhIyMhISUgIiQgISEiHyEjISMhIx8iIR8fICQgIyEfISMfHSAfFQV8TAoYHBweHiEdHBgaHB0bHBwfGx0eGRwZHBsc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