No. They are not the same. Jatayu is Garuda's brother's son. Garuda is Mahavishnu's vehicle. Jatayu was the falcon king who attacked Ravana when he was abducting Seetha Devi.
You can worship Brihaspati by chanting his mantras and shlokas and also by performing his puja and havan. Donation of yellow clothes and materials such as turmeric, chana dal, jaggery, salt, gold, and yellow sapphire pleases Brihaspati. He is the deity of knowledge. Donating Study Books and educational materials also pleases him. Thursday is his day. You can visit his temples on Thursdays and also wear yellow clothes.
Dhumralochana Confronts Devi
Kaali Mantras for blessings
om kaalyai namah' om taaraayai namah' om bhagavatyai namah' om kubjaayai namah' om sheetalaayai namah' om tripuraayai namah' om maatri'kaayai na....
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shreeraamapaadasarasee- ruhabhri'ngaraaja- samsaaravaardhi- patitoddharanaavataara. doh'saadhyaraajyadhana- yoshidadabhrabuddhe panchaananesha mama de....
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