Rashmi mantam samudyantam devaasura namaskritam
Poojayasva vivasvantam bhaaskaram bhuvaneshvaram
In the churn of the oceanic gas clouds bounded by a rope/girdle/Controller the atomic and sub-atomic particles submitted. Revered radiations (that radiates in seven ways) were initiated in the gas-clouds of the Universe
Sarva devaatmako hyesha tejasvee rashmi bhaavanah
Esha devaasura ganaan lokaan paati gabhastibhih
Sarva deva aatmako hyesha - In the depth of all the elements roars mightily
tejasvee rashmi bhaavana - the glow of this bond's impression/control/thought
Esha - Going after
Deva - elements
Asura - Hidden Sub-atomic particles with great force
Ganaan - molecules (sets of atoms) (Ganas mean a set also)
Lokaan - elements
pATi - split, broken, cut, cleave
gabhastibhi - forked (made openings)
pATi gabhastibhi - splitting/cutting/cleaving them with openings (sculpting these out of the gas clouds)
Esha deva asura gananaan - Going after elements, sub-atomic particles, molecules
Lokaan Paati gabhastibhi - Sculpting/cleaving and opening such things
In the depths of all the atomic particles roars the glowing controller's control/thought, going after elements, sub-atomic particles, molecules, sculpting them.
Sage Agastya introduces Aditya Hrdayam to Rama with the following words
Aaditya Hridayam punyam sarva shatru vinaashanam
Jayaavaham japennityam akshayyam paramam shivam
Aditya - Milky way galaxy
Hridayam - Hridayam indicates the core which makes something tick. It indicates the core essence of something. Hrdayam is also the place that thought is finally controlled, according to several places in Vedas. While thought is processed in brain, there are several indications in Vedas that indicate thought is controlled in Hrdayam.
Punyam - Good deeds
Sarva Shatru Vinaashanam - annihilation of enemies.
Aditya Hrdayam is about the essence of our Aditya, the Milky way Galaxy. Agastya says understanding the essence of our Milky way galaxy leads to good deeds (psychological perspective) and annihilation of enemies (scientific perspective).
Jayavaham - conferring victory
Jape nityam - constant recital
akSayam - never decays /always receiving benefits
paramam - all things
shivam - force that binds
Constant recital confers victory and ever provides benefits from the force that binds everything.
Sarva mangala maangalyam sarva paapa pranaashanam
Chintaa shoka prashamanam ayur vardhanamuttamam
Sarva mangala maangalyam - Auspicious bindings everywhere
Sarva pappa pranaashanam - destroying evil deeds everywhere
Chintaa shoka prashamanam - Heals/cures worries and sorrows
Ayur vardhanam uttamam - Therefore good for long life.
Providing auspicious bindings everywhere and destroying evil deeds everywhere, it heals the worries and sorrows. Hence constant recital is good for long life.
When we recite Aditya Hrdayam, in midst of tough and challenging situations, after understanding its psychological perspective of evolution of intelligence driven by a binding thought control force, our sorrows and worries are left to that force and we surrender our tasks to that force.
When we recite Aditya Hrdayaam, after understanding its scientific perspective, wherein we need to invoke all the twelve elements (which was applicable in a war in those days) or in a modern context all available scientific tools to combat our worries and sorrows, we think logically and perform.
We perform with the acceptance that the result is left to this binding thought control force that we are all subjected to, as even our might milky way galaxy is subjected to the same torments, when it comes to that force.
more verses explained below
http://creative.sulekha.com/science-of-surya-mantra-and-aditya-hrdayam_491624_blog"> ADIDTYA HRUDAYAM AND ITS SPECIALITY IN DETAIL