Because a Friend Asked on G+

[gnomi]

...does anyone know of ultra-observant Jewish groups that say that humans should not explore space, based on Tehilim (Psalms) 115:16 (הַשָּׁמַיִם שָׁמַיִם לַה' וְהָאָרֶץ נָתַן לִבְנֵי-אָדָם -- "The heavens are heavens of the Lord, but the earth He gave to the children of men")?

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[bibliotechie.livejournal.com]

There is a book "אם אסק שמים : קיום המצוות בחלל = (Im esak shamaim : mitzvah observance in space) " by R' Levi Yitzchak Halperin Published by מכון מדעי טכנולוגי להלכה Institute for Science and Halacha. that deals with practical halachaic questions of outer-space from an Orthodox perspective