The worship of these is also prescribed as an astrological remedy - for the 9 planets and the Lagna as follows:
Kali for Saturn, Tara for Jupiter, Maha Tripura Sundari (or Shodasi-Sri Vidya) for Mercury, Bhuvaneshvari for Moon, Chinnamasta for Rahu, Bhairavi for Lagna, Dhumavati for Ketu, Bagalamukhi for Mars, Matangi for Sun, and Kamala for Venus.
Kali Tara mahavidya Sodashi Bhuvaneswari.
Bhairavi Chhinnamasta cha vidya Dhumavti tatha.
Bagala siddha vidya cha Matangi Kamalatmika.
Etaaha dasamahavidyaaha gupta vidyaaha prakeertitaaha.
KaliKali. Seated on a corpse, greatly terrifying, laughing loudly, with fearful fangs, four arms holding a cleaver, a skull, and giving the mudras bestowing boons and dispelling fear, wearing a garland of skulls, her tongue rolling wildly, completely naked (digambara - clad in the directions), thus one should meditate on Kali, dwelling in the centre of the cremation ground.
The Kali Mantra as given in the Mantra Mahodadhi is:
"Kreem Kreem Kreem Hum Hum Hreem Hreem Dakshine Kaalika
Kreem Kreem Kreem Hum Hum Hreem Hreem Swaha"
It bestows the eight supernatural powers. The Kali Tantra gives details of the puja of Kalika:-
"Now I speak of the ritual injunction which is the all-nectar-giver of the Devi. Doing this, a person becomes like Bhairava.
"Firstly, I speak of yantra, the knowing of which conquers death. At first draw a triangle. Outside, draw another. Then draw three more triangles. "Draw a circle and then a beautiful lotus. Then draw another circle and then a bhupura with four lines and four doors. This is how the cakra should be drawn.
"Worship the guru line, the six limbs, and the dikpalas (The eight, or according to some, ten guardians of the directions, ed.). Then the mantrin should place his head at the feet of the guru.
"O dearest one, after worshipping the pedestal, set down the offering. Place the mantra in the six limbs. Then, within the heart lotus, the ultimate Kala blossoms.
"Place her in the centre of the yantra by invoking her (via the breath). After meditating on the great goddess, dedicate the ritual offerings. Bow to Mahadevi and then worship the surrounding deities.
"Worship Kali, Kapalini, Kulla, Kurukulla, Virodhini, Vipracitta in the six angles. Then Ugra, Ugraprabha, Dipta in the middle. Then Nila, Ghana and Balaka in the inner angle. Then Matra, Mudra and Mita within this triangle, and then the very dusky one holding the sword, adorned with human skulls, with her left hand showing the threatening mudra and having a pure smile.
"Worship the eight mothers Brahmi, Narayani, Maheshvari, Chamunda, Kaumari, Aparajita, Varahi and Narasimhi.
"In equal shares, give these devis animal sacrifice and worship them, smearing them with scent and offering incense and flame. After doing the puja, worship using the root mantra.
"Give food and so forth to the Devi again and again. The sadhaka should offer flame ten times. So also he should offer flower with mantra according to the rules of ritual.
"After meditating on Devi, recite the mantra 1,008 times. The fruit of reciting, which is light, place in the hands of the Devi.
"Then, placing the flower on the head, do prostration. With supreme devotion, then rub out (the yantra)."
TaraTara is described as seated in the pratyalidha asana, on the heart of a corpse, supreme, laughing horribly, holding cleaver, blue lotus, dagger and bowl, uttering the mantra Hum, coloured blue, her hair braided with serpents, the Ugratara.
Her mantra is given in Mantra Mahodadhi as: Om Hreem Streem Hum Phat
If Om is removed it becomes the Ekajata Mantra.
If Om & Phat both are removed it becomes Nila Saraswati Mantra.Sri Chakra (Sri Yantra) Pooja
If you cannot do a detailed worship, simply worship the Sri Yantra 108 times with the simple Devi Mantra:
" Om Aim Hreem Shreem Sri Lalita Tripurasundari Padukam Poojayami Namah"
Or better still with the Panchadasakshari Mantra, which is one of the greatest mantras of Devi and next only to the Shodasi Mantra:
"Ka E i La Hreem - Ha Sa Ka Ha La Hreem - Sa Ka La Hreem"
The Basics of Sri Yantra : Before starting the worship it is advisable to know about the way the Sri Yantra is constructed, what all it represents, about the 9 Avaranas, the deities, their gunas and significance, so that your worship is more meaningful. The following are the authentic details as given in various Tantra & Mantra scriptures.
Five downward pointing triangles representing Devi intersect with four upward pointing triangles representing Siva, forming 43 triangles including the central triangle..
From the five Shakti triangles comes creation and from the four Shiva triangles comes the dissolution. The union of five Shaktis and four Fires causes the chakra of creation to evolve.At the centre of the bindu of the Shri Yantra is Kamakala, which has three bindus. One is red, one is white and one is mixed. The red bindu is Kurukulla the Female form, the white bindu is Varahi the Male form, and the mixed bindu is the union of Shiva & Shakti - the individual as the potential Shri Cakra. Varahi, the father-form, gives four dhatus to the child and Kurukulla, the mother-form, gives five dhatus to the child. Theses represent the nine dhatus of the human body.
Varahi's four fires are the 12 (4 x 3) sun Kalas, the 12 Zodiac constellations. Kurukulla's five triangles are the 15 (5 x 3) Kalas of the moon, 15 lunar Tithis.
These nine triangles also represent the nine stages of growth of the human child in the womb.
Surrounding the 43 triangles formed by the intersection of the nine triangles is the 16 petals circle. Surrounding the 16 petal circle is an 8 petal circle. After that the 3 lines and at the outermost part of the Sriyantra there are 3 lines called the Bhupura.
The 43 triangles constitute the six inner sections called Avaranas, the two circles of petals are two more avaranas and the Bhupura of 3 lines is the last Avarana.These 9 Avaranas of the Sri Yantra have various presiding Devis. They are the Devi's Parivar (retinue) of total 108. In the Srichakra pooja they are systematically worshipped one by one with their names and mantras. The presiding Deity of Srichakra, Devi, is Known as Lalita Tripura Sundari. The form of Devi Kamakshi of Kancheepuram is the closest resemblance of the Devi as described in the scriptures.
BhuvaneswariBhuvaneshwari - Means the Queen of the Universe, Maya, power of love, peace within, as void. She is like the red rays of the rising sun, with the moon as her diadem, and with three eyes, a smiling face, bestowing boons, holding a goad, a noose and dispelling fears. On the right side of Bhuvaneshvari, who in the heavens, on earth, and in the underworlds is known as the Adya, worship Tryambaka.
The mantra is: Om Hreem Bhubaneswaraye Hreem Namah
ChinnamastaHer left foot forward in battle, she holds her severed head and a knife. Naked, she drinks voluptuously the stream of the blood nectar flowing from her beheaded body. The jewel on her forehead is tied with a serpent. She has three eyes. Her breasts are adorned with lotuses. Inclined towards lust, she sits erect above the god of love, who shows signs of lustfulness. She looks like the red China rose. - Chinnamasta Tantra
Her mantra as per Mantra Mahodadhi is:
Om Shrim Hreem Hreem Aim Vajra Vairochaniye Shrim Hreem Hreem Phat Svaha
It yields all desired benefits quickly.
BhairaviTripura Bhairavi is Supreme Energy, Supreme Goddess of speech, as Tapas, as woman warrior. Her head garlanded with flowers, she resembling the red rays of 1,000 rising suns, smeared with red, holding milk, book, dispelling fears and giving boons with her four hands, large three eyes, beautiful face with a slow smile, wearing white gems.
The mantra is: Om Bhairavi Saham
DhoomavatiMatangi. Dhumavati. The colour of smoke, wearing smoky clothes, holding a winnowing basket, dishevelled clothes, deceitful, always trembling, with slant eyes, inspiring fear, terrifying.
The Dhumavati Mantra as per Mantra Mahaodadhi:
"Dhum Dhum Dhumavati Swaha"
Bagala or Bagalamukhi is the eighth Mahavidya in the famous series of the 10 Mahavidyas.She is identified with the second night of courage and is the power or Shakti of cruelty. She is described as the Devi with three eyes, wearing yellow clothes and gems, moon as her diadem, wearing champaka blossoms, with one hand holding the tongue of an enemy and with the left hand spiking him, thus should you meditate on the paralyser of the three worlds.
Bagalamukhi means "The Crane-Headed One". This bird is thought of as the essence of deceit. She rules magic for the suppression of an enemy's gossip. These enemies also have an inner meaning, and the peg she puts through the tongue may be construed as a peg or paralysis of our own prattling talk. She rules deceit which is at the heart of most speech. She can in this sense be considered as a terrible or Bhairavi form of Matrika Devi, the mother of all speech. According to Todala Tantra, her male consort is Maharudra.
Seated on the right of Bagala is the Maharudra, with one face, who dissolves the universe.
The Bagalamukhi Mantra as per Mantra Mahodadhi:
"Om Hleem Sarva Dusthaanaam Vaacham Mukham Paadam stambhaya jihvyamkilaya buddhim vinaashaya Hleem Om Swaha"
MatangiMatangi. Dusky, beautiful browed, her three eyes like lotuses, seated on a jewelled lion-throne, surrounded by gods and others serving her, holding in her four lotus-like hands a noose and a sword, a shield and a goad, thus I remember Matangi, the giver of results, the Modini.
The Matangi Mantra as per Mantra Mahaodadhi:
" Om Hreem Aim Shreem Namo Bhagavati Ucchisthachandali Sri Matangeswari Sarvagyanavashamkari Swaha"
KamakaKamala: With a smiling face, her beautiful lily-white hands hold two lotuses, and show the mudras of giving and dispelling fear. She is bathed in nectar by four white elephants and stands upon a beautiful lotus.
The Dhumavati Mantra as per Mantra Mahaodadhi:
"Hasauh Jagatprayutai Swaha"