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Furthermore,there's no comprehensive practical guidance on the topic in my astrodynamicslibrary or, from multiple searches I've recently conducted, on the Internet.I've therefore taken the initiative to document a strategy with which totransform a position/velocity state vector referenced to one body/barycenterin the Solar System into another state vector expressed relative to anyother such body/barycenter.  This capability relies on an extensibletree-like hierarchy of ephemerides as detailed in the attached PDF file.Comments on this paper, including citation of relevant documentation to befound elsewhere, are invited.-Dan--B_3618644639_45377306Content-type: text/html;	charset="US-ASCII"Content-transfer-encoding: quoted-printable<HTML><HEAD><TITLE>Interplanetary Reference Body Transformations</TITLE></HEAD><BODY><FONT FACE=3D"Arial"><SPAN STYLE=3D'font-size:10pt'>ATIG Members-<BR><BR>Math behind the subject Galilean transformations is deceptively simple. &nb=sp;Even in the context of a proven ephemeris ops concept, I've nevertheless =found the logic to implement such transformations (for the first time in FOR=TRAN about 15 years ago; now in Swift) to be daunting. &nbsp;Furthermore, th=ere's no comprehensive practical guidance on the topic in my astrodynamics l=ibrary or, from multiple searches I've recently conducted, on the Internet.<=BR><BR>I've therefore taken the initiative to document a strategy with which to tr=ansform a position/velocity state vector referenced to one body/barycenter i=n the Solar System into another state vector expressed relative to any other= such body/barycenter. &nbsp;This capability relies on an extensible tree-li=ke hierarchy of ephemerides as detailed in the attached PDF file. &nbsp;Comm=ents on this paper, including citation of relevant documentation to be found= elsewhere, are invited.<BR><BR>-Dan<BR><BR><IMG src=3D"cid:3618644615_45365361" ></SPAN></FONT></BODY></HTML>--B_3618644639_45377306----B_3618644639_45363634Content-Type: image/jpeg; name="image.jpg"Content-ID: <3618644615_45365361>Content-Transfer-Encoding: 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FiC0ebo1toFBHKl3vL5mgUBDyNDKSwtvryIj39ELp5K8FSYEMQgEjP38yroQ/UnX54AVSx9BXAfKIACnG68hOSeRtwFvDO1LzMBel6Epy6LnNGyAHxk9NASIjcT/aSUnKOVpPnyTg0+aNwdbrIfeRycpIcIg5yI30ZqxmEh/E49IUCvT+b5FGJPEh+Sa4hm8jvyBmcmjvJW9SNdjrIIE6NTZk/AneSOzLHQGUhbeR75Bl6A12Ie4U2ModVYiVCZHdmnOSR8syJzBtIfYv8jpZmRsgcxH5PXPDOd5B7cIy+jvwkw29JSsly8hi9mf4RvlU/2SXWicOZ68kMcoT8nHYidgW5UXrDfATewT3kOzSPjmdOZ/5AfgBbugotfYncgRGPknFWJbRJ+4hKyshl5EoygNIvkF/SHFotaJlwZlbmQeQ+Rt5jUfZjwYhxRMlc0kfuJo9gNV4nZ+EKWGmSfosewPsK/Yv0BsbWSbaSm8gQRv4o6h4kx2g1rWZ58A8ZZhghi1G2m+xH/4fJKdpJe+g4/aGwX0pMtWRyM57MHzIZUkG6McK95Ifo4zxNgAY9CCXCFrFY3CLVTN6CGa4k3ySnyCsYx1tY9/fJP2gF3rfZF9mOzNLM45nfYSwm+A6N5CqyjGwg28jnyLexq8+TF8jf6EfMDMqT4ovSTdK5zL1Y2zIyC2NfAOqFaHsXdmmUjOF9HbN0URWzaKRX0qvpGrqb3k/H6C/pL5mBBWAq/ySkhZeFX4v1kpRpRktefpIHlywla7EDX8Rq34v5Pk5eJC9RDy2jMczoddT/gM1g7Xi/w06yt4Tbhd3iBenLU2em/jz1UWYYd0/t4LturOYTWIW/Ui/GEKHX0c30txj5HvaU4BBkISgkhVZhkdAj3CHcJ/wP4WfiJvGA+CtprjQgHTAOTH126pVMZ+Y2rAXFWa0YnFRJ6kgD+Gc1uOl6jG8Q7yZyM7mFDJOvgF/uJfvg746R58hL5OfkTfIudoDQAMa8Dr2vB9fdTr+C90F6kP6Qvkhfom/TD/jLSvCWs3rWwtrYbLaG3Y73PnaKvc7eEQqFFTh/D+F9GFdBv4SWFsWMVIN3jrRLeszwsrHcOMe43PTTCxOTFZM9k29NkamCqc9M3T/1w6k/ZJZkbsT4QyRGqjDSnRjlg+DB/XifACceJT8mPyW/0Mf6HmVUAsf7aBDcUIlda6GXw9WYS6+gV+FdjHcpXYZ3gC6na/HuoEP0S/RWehu9m35Nfx/A3PbT79KjeJ+mz+D9OT1Nf0//RN9jYGImgJtDLMzirAkzbWOXswXsarxr2Aa8g2wT24YdeowdZsfY60KOEIK2HRA2Cg8K3xOeF14T/l1kYqUYF1PiEnGNeKt4UnxFfEP8SFKkDmmt9LD0vMFvqDMsNlxneMBwyPCO4YLRYOyCu3qz8TVjxhSCxvpXzPsI9vTjJ244STdLueLn2WnIhU8YlHbSxVgxA1sk3CB8Rfg3aTU9J6j0V3RYWCdcn/mOMJv9Q9hAl7DnaImgSM24yrmLZOgB9jY7z/4geugi9kdaLt5Dn2YbhDaGOwbo1FdFj3ir9A5uA35Bmtl2Os5exM3VrZnvk2bpYXpaepi9QlTxDMshpyHVO9nXUelnbB3bRbrFOukjsg7r/l3p81jvmewOWiG8Jj5MficE2d9xurofWuMEnSeWsmtZEz0AjTtJi8kE3UgG6deIRo/TN+kYfOLHhcfofGbDbqWZnTbgsuWEEKCvCRbSw8dIy5iHdrFzbLHwrOGUkMSx5xT5N3ITFWgCvHPxmSKfhQTcx8LQaR3QJq/SGuIjX4e+Pz/1LNfY0hvSLvDZI0IluZokSC97mTRDNn6Ht5t8GXd0z4AH7yAJ9gC5OTNEV0LvXwH9yQjObSROrdCWeRjbDtgLLyuBLuxD1/+A/v8JtH4n/Qv5HFUhWeOkXOQld4kd0Ez90L+78K4kvUh9k9xrOCK9ShbQPEJEdephcPmvybWwOb9F/wW4ob4Hmu0RsRKjVqGZN6LGN6fmEA3vl8nLlJHtGPNMyHmXOAea9/7MdZjhOtio+bCJL5F1ma+TNuzd1ZlbM7tIX+aRzDU44S7MPA79uy0zSurJTqmHLZGiYh107Ev0Bdij/0l3QW/PIb+CPgpRH/kT3u9h/DOl42RY/AV0Z0vmrszPcctajpvXB6Fn5kF7rSd/wbrNEcZJ7dSVbCQzWxiEhTpNrso8llGohazN3ADN+yzZb5Sge4ZIsbQfvLtLXM0SGG+EeGkcuddIewnRZi1epLXMvCw1o7mpsaE+WVdbU52IV8UqoxWR8nBZqDRYElCV4qJCf0G+L8+bm+N2yU6H3Wa1mE1GgyQKOEpXdgRn96vpsv60WBacMyfG08EBZAx8IqM/rSJr9qdp0iqvN4CiT1FqoFz9Hyi1LKV2iZLKaoqkYpVqR1BNn2gPqmN02VXdiN/dHuxR0xN6/Ao9vkeP2xEPBFBB7fCtbVfTtF/tSM/etna4o789VklHrJa2YNsqS6ySjFisiFoRS+cFB0do3kyqR1heR/MIIyY7ppguCLZ3pPODqIpmhFDHwMp011XdHe3+QKAnVpmmbSuCy9OEe81RnYS06d2kDW1po96Nui6N2ZBd6kjl+PBdYzJZ3h+1rQyuHLimOy0MoI2OtCuKftvTeTed9X2cROPwz3d+stQvDMNDVDnx8PBONb3vqu5P1PUHeAs9PWgjzUKz+4dno+O7sE+d/PiWZrf3dKfp7egQJ4yQPqfs7LLHn1D/dWraHJwVXDt8XT82pmA4Ta6+MTBaUKAdy5whBR3q8KLuYCDd4g/2DLQXjuSS4atvPJyvqfmfLolVjsiu7LKOOJzTEZv9k5FVWPJsmR7TyXms8+pL60r5GINzcWhIqytUjKQ7iDk1crSqkQyvaMTy4+mhqJVeif1Ylza39Q/LzciXMUWalkJyUB1+n2D/gxPvfjpnYDrHEJLfJ7yQc8klRkvDyE0zXToaTVdUcAYxtmFHMcaZejoZq9w2xtLBQVlFgNMj6cLaDvQ0x7H4gQDf3l1jGlmORHroqu5sWiXL/aNEi+OUxfp5yfjFEs9iXjJ0seRS9f4g+Pgp2HBCPGlT2aU/p+zN6VjbnKbe/0Pxqmx558JgJ85gasdw/zTPdi76VCpbzhcU64ay6RjNVsSCp8VQ2hCaGwTrXY3DHDLwJ4VmBzvW9c+BqGGM6Zy2bsHP0ACPMb+gNwX+vWbZxfZ4otvG2xJDBp3/V44ZTWBgPYeqs9Ny/5ws7rEEAtPi9X+rNJY5x2vpwcfVpuecbo5Ozyo7x/SMT6U/NTzbsNC5CNqJdS5aNjxs+VTZbOi94eHZQXX2cP/wwFhmaHlQlYPDx4RuoXt4sAMaK7v9Y5lndvnTs+/qwVTW0mYwOSOzRoL0jqtGNHrHwmXdx3D5pd6xqHuUUdbWP6uHrxdrW9Q9PV595TFivhPYckMTLeRXZKyJCNISMk/8LakQN5Mh6V/xq83dZK6IX1wBNvYEbm6bSC7inBxuJzDy4bkeRajid9hsjp79TxCv9d95BBChk//ywW8teHSf5z/RGD+Vk/3xN5tlni6xILRi1PyZgXcLzj8FwtfFNww/N623BKxNtpX2o4TRQnhUhehKgK9/xQijx9kP0KeRPTdKJHGM/eApgViMPHKEknyTQXoO5YwINELM9Hp6LfFF5Q9Sk6kr5fOpKyZTpAVx+QJQdSLgCrhCQLRQJBdUYfyCJpGP4JmNY/2EzFk2EydkgVytmYn0srKmHl7VmBDW7EzIZUzA4jD4L2NU0XJVISH0C4PCPuGMYBCO0yfZy+IY3TBymvc9cb53Ar22pHZKVdHt8gvViSiF281mTnm66J+lr3y4RHqC7+K8zNuSE2fuUsq0WebiOI2zuBBX7nc+WPwd53fcR51Pu62mYurNo9uFL3g+771bGPZ+S7i/4KBwXDDbBIfIiubggCPFTbKr1I+BSUeYn9JnyJjQeVR9SCovFOgYO30Exkem8pjQemS3fa+d2ceEuBbPNePnFEppjXzwkIsqrhYXcxVoZbTMnFJ91OlTfMxns9vZYt/c0MoVvihWM9q76YqJK+XeDzZtvGLi/EbMcXLj+d7zv2+ZePf8BJUnzk/IL1Un2m7UVI/fYDOGCsqsZd6QwW+OEZsHyJQvxaglzw7Wv3STccstdGMv2bSxl+YEy8qCJQbmyXV7a2vqG/IMYlANlyXr3KW1NXnIaqhvEF9RlJm/f2Tnr7Zvm3jgtp/cqKyeOnd86tCx4aO05ftf3V3h9ucWWKXrp2pPHr1z6rXTY1Pv7dn4eO6Rxz985sLLdNHxOd4cf4KvfAXY/CncgtTSeq1FS64p/FzhNxLf9R1MHE+cSZqW5A8aBo07TDvMQ4Yh427TbrO5VPEXBUpCij8aCJo0WWaLTQGHQzH7TUb+M2mA5xgDjCkGv7FQ9jMadDidRbVkf7SKxOQYi42xV7VAZWUU09tf5H+nsLDIZD6Iu/SDLcYdRkaMsnGBUUBbv9e69La2VR2sjCqxOKreUHBQ9Wv+037Bv7ArOZjclxSSRDbk5LDFss3p5Jjvk1wSKrXxuqV6ZmkBzyx9uO7MMbpTFwncBaUmOcIO9oJHz05+EO3tnUjJnFnld+VJcKw81ZtCxN0Uh7xQl7tJnniXyO9Hsbt6GI1Ww+envdQV4PtR6wqWhbFtAVeu11vLdw15QiDJN6s+6aoLlwWDyQDfWcRwLq7YEq4zhEIOh/vqxVOvy+WNv9+8NjGztXzrR39OJKJqXkHpooTocYY9tTXlqyQ2+U6wastU+YrCYPlU67JwnhqfuX3qYChP1lYIG28pLg9N/eL6Lo+T7+hQ5m1Rgiw1sqVavvtrlfhhxMms+JlQLCcRKbqALmBmV/MYna2dqm+sLxD8Yp+vL7+voM9vkOySg1SMN4tbrFvsWxzbnIPFg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2wt9mm1T+eXxZV8j9iolUlN41iLixWyLBcfEpfpqpdy/W3/BixGCXs2JDX1tBYXD6Jeq/+gPPVYpNW3NpceW9siPIBb2Nd6XNLWZi0uvqg+teJ8sVqcJ84SK8UviDPF+zCDtXm4T5qVXUQlR8TPi9PFe8VpYoVWqlxymThFnCx+TrxHnCRO7PoTK/2M8pfKUqxn/C7Jd4oTxCJdzXjJd4jjxLHiGHG0OAp3sdrbJY8Uh4uF4m3iMAxnzK2SC8RPifliHibSO1TyEHGwOAgDeVd6vOvselnZZVVWzhVvRg/KOQiSN/GOdxGWPYR7KQ9Q/CdlyZZ8oxickLwPbtAsXK+x+yuqn9hX/ESKWZyvPtydcllHH9l6oxefPA+9NWKvlM/aXMku9zNbYxZ/PlZon65MWTLEdLG7eJ3YTUwTAxjBeD+OkZ4s2qOo2ZyOni27Y/q4t9m7ZDavfjatMWTgcZ5P8kzwbOMZgDH3NG0wDUM/lgMfyyj/10GycR5HMQYPO+v43p2OdlSac9hlNmK9ycc6esfw3b4LB3mORD5mu9sZ04Hj3HWOOzNxmFoNhjnXs52MaYxqcRwnG0vRbjah3cl0xpud2OK0mNVcmRkY4BvIyIuIuHtQh0LnaVT67neaAkCD8xSWmiy+jSqdO53J3Rw0+y5hpFfKPeJFruh2t845E6hEsbnM7LX4I05hhDMSc7HBmctK95vjZq85Yd52yvGKOWA6zFFvon72W7Afznvt2OsE+W7bSz2I8a4v5Z9IfQAGs3571piN3mGzhddfxqs/j2HYjCdo3+xNZBXD3Gbku6ycXyWf5W+w20xLoddI+QAeQ7l3HDNMC5b6V3Gu6HP3ml0odJu9RnNQejNH62VO+7Mxyhd2BvoruZOc9RLOOOcEHkKjc4mRe/CWt8HZzvno5bU4jWZuck4w2SvHem8D+nBmwmxnckUGeBdRbvY5+chyt5sdH82N97Jzxkn3l6LKO2fOm8v+An+u2eVddoBG0+4fgXGmw19o9vtH+TM5m42cx/0rm1Z3cde6FUOAooDf87mOQV4oK+Hk3l2VKJoaCR2KhvPzrlFDWYFQAmWJjBWh1q6usogv6EUT3o0JNzct4cvNOfW/nKfy8yaVRUKtJlBSnEpbMruYxooIR+CfNXO4kuJ8frTmTWqFvyzynDGPRltNV1MrirNfsB82syrpTssLhUoWFCfMbCrd8mgYEqZ0XV6olHWUlkdyoqF4KH53VTxUGqqdU8XC1NJRHY8WsMSKyAJyWiScKIoGr4rV0eho5ulu87ALw+NRZrg/lYGtTAVXGJSeNymUcG8pi0yNJGLFwURRcTQYDodKEm1lkURbcTAcjTIq42qlrHjVgv6pmjNZc8YQ+nsks3AOioIJRONxm7MikhNOxOLxYJzXkdJb0XaNweBaQ1HK0AqbgzNR0mpiZUzGJicctIaccE6YdUbtJGfZuS9hpeFovu8oaniv2MP+R2KPdE53OtvQVQu469xEi4Oazk2+Gm8b38cB9Cvq5oPfpHmODwVHTh4ZhqzXj7x+5NbePcM9c8M9wzU+dDS4wY7TnZsCmZffW+wfbLOnBuvcyafovx3W78phuP8kK/LzHY8pU6dXzCgZWrGibu6ihfgPXpcJBwplbmRzdHJlYW0KZW5kb2JqCjI0MCAwIG9iagoxOTgzCmVuZG9iagoyNDEgMCBvYmoKPDwgL1R5cGUgL0ZvbnREZXNjcmlwdG9yIC9Bc2NlbnQgNzAxIC9DYXBIZWlnaHQgNjIzIC9EZXNjZW50IC0yOTkgL0ZsYWdzIDMyCi9Gb250QkJveCBbLTE2NyAtMjk5IDEwOTQgODI3XSAvRm9udE5hbWUgL09RVlNaRStTeW1ib2wgL0l0YWxpY0FuZ2xlIDAgL1N0ZW1WCjAgL01heFdpZHRoIDEwNDIgL1hIZWlnaHQgNDY3IC9Gb250RmlsZTIgMjM5IDAgUiA+PgplbmRvYmoKMjQyIDAgb2JqClsgMjUwIF0KZW5kb2JqCjc3IDAgb2JqCjw8IC9UeXBlIC9Gb250IC9TdWJ0eXBlIC9UcnVlVHlwZSAvQmFzZUZvbnQgL09RVlNaRStTeW1ib2wgL0ZvbnREZXNjcmlwdG9yCjI0MSAwIFIgL1dpZHRocyAyNDIgMCBSIC9GaXJzdENoYXIgMzIgL0xhc3RDaGFyIDMyIC9FbmNvZGluZyAvTWFjUm9tYW5FbmNvZGluZwo+PgplbmRvYmoKMjQzIDAgb2JqCjw8IC9MZW5ndGggMjQ0IDAgUiAvTGVuZ3RoMSAzMzczNiAvRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeAG8vHl8VNX9P3zOubOvdyazL5l9kswkmZB9I7nZkC0QBIUgkYAQWRQSQBBciAsiqBVXRGzF3aotwwQhgFbqWqsttLbVVitYqbWtUfst0lbJ5Pc+d4JLf9/X87xezx/P3Jz93LN9zmc952bdmiuWEgMZJAKRLrl8UT+Rf5FaBL+8ZP26YC5te4AQTbyv/9LLc2nfy4Qob7r0so19uXR0kJCLB5ctXbQklyZnEVYvQ0YuTSsRRpddvu7KXDo8HeEnl62+ZLw8qkH6yssXXTneP3kP6eCqRZcvzdW/4T6EZf2r164bT/Pgvv41S8fr03mE5LXkynK+ggcUroH8D2kktxMVYUQkKXIhZjKZvUyUSPNyJbt9/0+PtCw0N36hcfNhEPLwh1WTePiS+sqhr7aN3ioSTRXqauX6vADvqUPZDjJXJF9t+/KEmOuJl5z7NeybExxWGIYMpnIeZvKc5cMK/VBhMGBuERVWMgjHiBl+M9xCOEH2KZEU1syVFdIwgjW5YFUuWJEL5lRIz6H6VFIxdlRhHXK6ynndIZ2hfJCHGi1PWzLzK6QWrcKC6fJ6FjI7F2a6eCuWTCdvxULOy+UOtXfk3mrNZTeNV66vCLREUS0IJ8H1w+2F+xxOhdFbSApuB9wYnEJO8Xqb4W6H2wN3Ek7Fh5DRVJhbvAoRJaI8d5EEEEvBCaRXwVc3LftmhQaroiEz4R5UqIlCocuQywKH0Igw1NHBRyoMJUvlMFNYVC4XZDy+8ucVAttFCkgANWnG4ZVLSKa1dTxSXZuLDCVKyk+06LBFPoNjCqKgpDD31lBhafnnLyBNhSwxU8pzhbNDog29CaND5rxyqUUU/kO64BhJC/vIUThGVgtfkM1wDNX3Zkom8I6EvUM6U7mI+p+RINwgnED2wKdyWkKM1/9sKM/Bm/9LxmyR3zuRKavMRYZEV3lXi014D+N5Xfg1iZCA8CeE+QhfQ+hH+KrwM2KUx/nokFksH0R/j6D6I8JGUoTix4RNpBzhk8K1xCtX+33GlOvn95nCRHmLTnhCuFquslYYIJWoepmwMlMeCB4RHsVIJeGTIa2ej++TjGgvf174q7CS2FDrFGo5A+bnhVUkBcdnMjykNZbvaDEIw5jmMJYlgDFS8qDsS8KvM2gI/f1QGCQOlB0TriN2hE8J12fsgaNHhH/J/Z3hraC/h7FjeDBkNJUfbdEKD6M0LfwPVvx/5N5OD8Vry0lLXLiVlMExLOqHiH2ImCh8itinANOnAM2nAM2nGMWn2LREGEHJCOqkhPdJv/Au2QH3IOIKTGBjBivIQbcxEy0sPyRcI1yNlRCPYO0ocq8d0pr4yK7OWPPkaldzBG9+XnibzIRjWKx3OEauPiJ8T57KjiGXl7/wm4zWgKW7KgcLtLSJw+B5YVC4Xl6J6+QVSP8ESUrMwg3yy2NDBkv5ZkB/DpKr4d8OdxzuMzgFqs3BHOaQhXAg3kLXkMlcbj4izJdfnpIxVQSeFyZj6pPl1ZqcsYflMZ83HlGYM9788p8AV8ykBBStXGFSqDKpwKwjwjTsn5nCjMySAMY+K4N2+ZrMGKqtLy87IsyQ12JGJhDJZWfy3HJkUkab21dtQzoLH0m7XDGZ0Zjk8uQ4SgqJIZuzPNAiCvXybCvgE6EG4KsBaGqAJxUyMMqHRCt2/xKhXJ5ROelFbA9cGk4BGJejejlgXE5OyjlmoRrTrSZjcAJgW00+hwOZFSaQZrjb4V6AOwmnlHN7EWPIL0MPvfB3wDG0mEJahC/B9cINwu2BOwr3OZyaHBNK0E8JapfBH4RLw52AUwBWxRhHMcqsQpCMgqkEyGa2S6qnm8lmupltFjYrNis3i5stGqkqVlwureBeKfcK4dX0avu1g1qhTCtpu7SCqA1q2fDY0Yy6vgKBZFXVV/yh82+dX3YK1podqh1qdqzFQC3kBNxncAI5RkWkRKREaatwrOlE02dNwrHOE52fdQrH3j/x/mfvC8dKTpR8ViJInd768pqFdDXdTG+nigBN0WY6kyoWCquFzcLtgiIgpIRm7AVFr75fP6gXyvSSvksviPqgnu3Q79Gn9Uf1x/XKtOqo6rjqpOpzlbJL1avqVw2qdqj2qFQBdUrdrJZUis9b2ti7WNQ98NNwjAzC3yHHRPiUHIV/XE7zXIADfr+cluB3ybEI/DIeg4ugrT+g3iD8HXBAPjkdgV/G03ARUPffo04//B1wjP1e8oXLolKUidFglJEo/TxKj0dPRlk6ejTKjrbUs3dQfw/8NBwf5Tt4k8ci8Mt4DC6C0b4t13sb9TjiD8LfIcf2wP/vvF7k9culEvwuORaBX8Zj7O1MpMbc4mS70eJC+A/CnYATSAp+M9xqORWAT9lu+BK7f6igGAyf3Z+Jg0YiCOeC/Fzgk4Mht6d8YYuZ3Y8m70eT96NJngrANfPU2FG2K9PO6+7KTMwF9RUnWmrARflQdpG9cIzMhP+gHEvBb5ZjvASk6ut0GrGTckk//D1yjL/HWwEfgH/uXYHdj2cXcsxsE3I3SXpGHA5ITlaLxjrMDmeWWwPDbH+mUEQwlAsyPGjJYwLW3kg/lf0fy/6D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07mBpuZzkOFApbj+7ojFC10lMWdJzFVaROKF0SLKbUpMzsrbosBSvmJQwnG5PZKFMlpby262coWbH/aFIeM4M076aFFs8txz7yVKp3iHh7sO91/R1VgTcGdmBoMllWrRJ+Ksc48Ohsuj0dK2ZcKi6U3bn9/QVlEfyIauLiiouvytKdOZBGMBDP5VcxepFXZNwGBxPYBLmC8b7UYOcEZPlKU93JAHQfvv/DgKkZMqt/N5rEyU8eD6xMdqkGkwJaGabLyChiSzGSIO7yNU4WF9VLBTLZaLyGeHGOwikj/eQuQT1caaV/D+KnCbwobfc3oft9nfJzG4Urg4fvnofdWWVQ1om60lcXtxuaQDTUmlmt9LMuj+5BNoMlxswtYA+gDlr1TLLyWZIAVRCioNA/fzXKurxsEgNst9vDFeg05Zl/a4kYO5kYO2kYO/0cOzPDzLw7M8nvo6GuLZIZ4d4tkhzOYM1yUQwY+vAGsQ+eIZhiwVFfV1E9jBkWMi/jpGRzCL083vvY4sRgaZ3pWqV8uyxvpe8CdbzFYyWD9UL+XqR+uP14tJLe2s763vY1lqPVX0nkTAPiLi6nC4IhGIzwwbEwF5ZiSUCJSMiFa1MpKNV7bUBLJtVInXEj5LkC+7XTZ6PVHDkJHmjNRm7DPuMb5hlIwjwr+osQoSilYGKzoreiv6KqTBiqEKIVdB2aH7aMXxCqmit+7Rrez0mxFuRsFB6Vl43nyLgzF7Q8PE3eQJJCj0FWn02pi/pEjjLYLZwqcrZmjAdI780SLEMGYSZqjA4J5dK8mfm/HTEVzoxpla/uYIl/2RCzHrfKYuHqOz197UcnGfv8BqTKtjk51qtVEMtqWrrpzpbJg61nhRpNBjC/qcKSt1aO46t2xz+4LF6pNjzy1UPEXRaLxEvpi23XtZqmbOWNFllcFotMBYv0C86HvTfXKkj+n6TfB0wBcTCQsTuv5REgU7Kmbg7LBwcLeEPAySQ/yQIFTgEXF5+k/8OBeRkxzwEXmLIxIi/3aE1TZYgFNneS1E3ue1GJadR7e3DrNaHgUmLdU9J7Q2tDWEo861wOFeLdVyjsE43zMMG7VhbQGo7luQ117vkd/Li2xM0edIAJSATTAJRKAXMMGicBwIcZ/1c6ijA5/ZskhLSz6ieuvqtPNVJoDv1QrspYQouB9TwKb3mVrEMAm3OSIWjg8WgYG9heMDm1keHxD5jOMDy+H44PFEI1/BAR59HWN/7/Xm1wFOGPAEKniHorQ32hcdiu6NnolqlGhnVFCZF2XkvLq6hof1jfmwIp0PIzEeqpVeXw0QpGBm2JIIOIAWcW+LEgi1mb3mgiFMpYGQsFlX4DAOwcrbIKLL4dYsC1Rbc1a8ymy2eC1Rj5pswMBhF6htrBny0E4P7fX0eYbwCcAZj8YzHBl+hKMDGzb74oJdRjidZwcQezA1+cJF/bwhFqAOrQOwPqE+MM224AJcc7DmIgaD60TZpEllZU2TbvBWtYy1tlb6DbqAr6jUSgs1d7GCprKySWOhc8qCBgCyr2k+XfqdcsVri/YBQi4C1NoAtU76rTyVP0rc2DIOs4VmLdVNyBb85gXVMhKNW/YgXQyYEPmYU21E8mCJyFvcWIXIbw4z6cOs+ReQZz2cDj+68b5qKijkNBq6CrO7vpesviB6MCrMTEuQPr5CieMFHPIKCxkUFaAZPh+akDo4OFEMDVIHXpgHJEQY49Cy0eUByWzG1x95i1aemDYDhvKw88yQe9R9BjeLGaQ0T61hodrYMKmGuoctK2o73VR1d7p7cV9jyL0XFXXmREA3M0wTAW08Uhi3tBQECtswJJ3WSGjUglfyblio+rKTaobMtNNMe8195iHzXvMZs8Y87PoKKORJYnPTl5sPUzvn/Xzvv77fjLax7b7OWzNtrLm50mcNenyldmrX3PV5y4L6Yr63ovrQtDxFouy7KW0aNoiF4i8nOLi7m3Pwbi4/uu2cJNnnz0qf57WIfMy3j+WoNrbH6SSvlayqm3q+FiL5WixHDbFaU1umtfB6LRxQWjigtMwqZLx91vl2iOR5OyL5DhD5p+plQDXLyLqZleTNk7x5Ej9UB0soA6I6mdFQpN9UTYzW1RWxjpGGYMFa1wm8nF90qbPzPuy8Dzs08w/zfShpVgfpF/N9KGWsD6TfVU2sD4X3gfQXgFGMRXF5U9Xt0xlRVabNm6+yOqn5dM78tfO34huIBdppVZ5YuQlmUw2TM5ikAXCGkvm6fG6U/Z2XNRhU54UMDuAT0QlQB8AD3mHUQfgKp7wXBG61Cd2jd5NOo5s3f4HOUzXNziHerkgMF5QkFyySPC9Z18JTLTzVMgvz+JhTUUXpwjr9ncscPMJQA5G/8NK6ui7swZ84viCSxyBE/s5LZ83q7ppAHOhkGCLzZYycO8wLcgmnx83sCwtgVM6CD0hfgPHrQ9IOl4JLj3942OfBVQ0PzCnsr9uvFtXojnf/2SUOgpV3MwkmaaFD3RBUlEQAVzq+OBSuSwSqEFFN4VmJwLSZYXsi4IasciiSTARgpLUcirQkAlMRUSdH5sdnt8wLzG/TJ+pmqw2JUj3RxaYtWMg2JlZuNpp0WkmjmzYVh8BuY7fb7ZPt0VBaoX1KTsGHQzSr2uoSlclofbqO9tXl6oQ6lueavbAlOmtWcHbnbGFw9tBsgcyWZwuzgddHCl01s3u7ukeERQdDkHJG6Ipb+TVdJuLg2hRoO5N18OUQF3kubl/Z9nvIPewPPv5nY63Y91n8gO/CF1pY3bwyUBjGVUJLLFISNYdgiLWFrbGvykGwuCZhkwJngMTDxaD/RRiCeWniImBYq9O5v6QjF7JhKfgyN183T14ytHOFo2J1ZsH1zsvv6pjRH3JZjLUXjTUVTAq5jZI/viB71SxBcDZOHaua1WDShMrn1GbnVnirOsYmNVf7OOeJ22hhUvhkha2kbMWSazs65jdeP7ZxgeKC0OSWI/ZOuqOvUs1ONyXHOrgkFY3aL0VelVpcXjfmXFTrj0b9k+bTy+4rD01wKXx3Kv4NlCwjXKBkWU7J0lzRqOK+VW9zwRT6sVrJSESkOJrQc5I0cWuQ0wO9i6ssLq6yuMwMz13nyRMi+YMWRP6kljB8d5FiTkyKeUfFvIviBNdYElwZSTDkYa9D5AyXxxDJEzlE/qkaWS8JUiREAbXvq4Yq1YDKVdWW58EQZbgwHHQY1RC1Rat1vnIcRoKWpFJcYZGhuQD/vqq1wLjGICXPKkE5XmLk42t6unpZysXIA1sa7fwqHucDqMr3b4uy6xja+XpOKfScauhdIH7a+S6e5cJlTMRdMF4W85rFPKOYFxbzibLKPMJegchfnmFNEolszQS5+D8qMNBgGrPQYPRZhv/pbCe+/OnLDmU1FRJlXwH1ZQeRymW1uezxrJDL0l5kjGbFYr0rEbDllZlEIhCdGdYnAtaZkeJEIJJXZqriZS3pQFUbfqSxOsNXNBqJ4NDS6HZFdUN6mtNTG4xXe/Rv4JcKmTKDK+7F0bJgohPftPQlpMHEUCKXEElCTgiY2qhqAMInemvyCg07nPl/qdA4PF5RK8W8oruIanCVzncejaHW48p1D87TcSeQ6TP/t9oMGP5XVZwJBQdCQIZ2PHx3xxrFZTVVTRmbVKBmjFLL7Gs2mqwMEQunVkGTKcrj4ekXOxY0XT+2aWHQy/UY2xx6zZb+m8aKe1zFwLRpK+i8fdN9TBoUQLRPiUeBZzZSLJgnZIYiiIEMws3cmARxF1zULLMjS7MPdsSzHPxZRC1gmRKvJrlxqinHIOIxzpg/rOCA+/qXhmEDK2f1fKyxn8GUTyrkEFdolrkEB7YPOQ6dQw5gUUkKmM1BbuDlrIihAXgRfwmz6LY7Bp30MdcRF35gyfBS8TsGreMPRjrd0O5a6LyV3mHYbnvHrwuq1VmJG3b3BOkrzld9ghqkM/TnR+PA60bVpMPUPAegKNHjzO+UeqU+aUjKSVrpExw2mJpV8x4cUFywabLTO6bs4mfvSvGzd52XLDpgDsw4EJRm4DcT/oWdV7KfnGa/8c1YYGvXc8SHH32T8LvN1R/JH/m/kgR3wDUnrFr+agctduDLUgGfRRlj2hK7rVAhxdSnUJcBMY8OsQKLrFC/CM9pcivEq4HHKERekWCxJD+vA6wB6mA7Ve0bhA3azcbN1s2Oa10bPBuK9Ljjkb/dYSiS7Q1+OFiQzxww5S94MDWEm5m0Ex++4RYdO02DsZN/7SaQ4zdctfGNrW9svnzLa3OzV03Zc9PSG66YJj69e9vT130xuG/nD2/4xzUtzbuv/9ex3+z9ydk7eqF0jP9jbKZ4DLAWJw1CeALWEpP4qXi1sYxRZmZige8p8OJnnRMFnAYXKPxQHOLNP7kezOQ1TncROYt7nABURSxNOiSr1sfMnm6mckD8qIxZa7u1ujinwoRTYUIBnaCwkNwgu4HgcpbMoRQ20FGYP+WXkALEnteFj5Lq8S8OM0CsNjKYxM1Z7XyjcVIjRsfhtoDTyAKMhfEAiGiMk/i5sKagVqnWig/DvFYMxsRGwwbAdrpZzpt22MUMvBHE8/jE0QVEAr96g3ESO4ZokGfI35C326Xbyumk8uZJHeXfKL/SfmX5Ov0m+6byW/T7dB/p/2GwpCd1Zbpr1tRI6iSa0oulCUcBxCrvbeECCFfxCImH5sQDpE1wJEtFqRJX9thIBFxDsJq8Hmt1VdA4ZBR6jYPGp42i8Y+KUMCOsP2K0omDPGEwRNnBXv4wTxPqbXwRJn2YeUAUmeRzDp8hMRvnaUxrwO6+oNWKVvaVEn5nANfwlFRWZ9HHakrMJelYVlet0JQFXsZQq9AqU6XCPsOcAF0QSnajvL8HRFKMZZxM0mFwyI5/cUfjvACTcX3FzqPJE0yYfth3mOzATaC+kmm75uxY3H9735Mza0ur3Q0dY4q3Ll7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