{"id":"vidhyamitra:city-day:mathura:-3137-12-08:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3137-12-08","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3137-12-08","date_display":"December 8, 3138 BCE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3137,"month":12,"day":8,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575609.770833,"kali_year":-35,"ahargana":-12855.7292,"sun":{"sidereal_longitude":290.6733,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":165.2309,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":234.5576,"elapsed_within_tithi_degrees":6.5576},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":165.2309,"elapsed_within_degrees":5.2309},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":95.9042},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":-3137,"month":12,"day":8,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575609.770833,"ahargana":-12855.7292,"kali_year":-35,"ayanamsa_lahiri":-47.8945,"grahas":{"sun":{"sidereal_longitude":290.6733,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"moon":{"sidereal_longitude":165.2309,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false,"latitude":1.8339},"mars":{"sidereal_longitude":108.5345,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":291.5632,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":3.4547,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":287.3159,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":283.5692,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":141.1584,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":321.1584,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3137,"month":12,"day":8,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575609.770833,"kali_year":-35,"ahargana":-12855.7292,"sun":{"sidereal_longitude":290.6733,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":165.2309,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":234.5576,"elapsed_within_tithi_degrees":6.5576},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":165.2309,"elapsed_within_degrees":5.2309},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":95.9042},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.834,"elongation":125.442},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.834,"opposition_distance":54.558}},"eclipse_window_40days":[{"offset_days":10,"type":"solar","occurs":true,"moon_latitude":1.379,"elongation":1.905}]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:53","sunsetLocal":"17:31","solarNoonLocal":"12:12","dayLengthHours":10.6231672184325,"dayLengthDisplay":"10 Hours 37 Mins 23 Secs","nightLengthDisplay":"13 Hours 22 Mins 37 Secs","moonriseLocal":"21:02","moonsetLocal":"10:38","rahuKala":{"name":"Rāhu Kāla","start":"08:13","end":"09:33","startHours":8.216428541315583,"endHours":9.544324443619644,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:52","end":"12:12","startHours":10.872220345923708,"endHours":12.200116248227769,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:32","end":"14:51","startHours":13.528012150531833,"endHours":14.855908052835893,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:22","end":"09:43","startHours":9.36727165664577,"endHours":9.72137723059352,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:20","end":"07:37","startHours":7.331164606446207,"endHours":7.614449065604408,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:33","startHours":11.846010674280018,"endHours":12.554221822175519,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:28","end":"06:11","startHours":5.472110343220519,"endHours":6.18032149111602,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:00","end":"06:53","startHours":6.003268704142145,"endHours":6.88853263901152,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:41","startHours":13.970644117966518,"endHours":14.678855265862019,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:19","end":"17:43","startHours":17.31169985744402,"endHours":17.711699857444017,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:31","end":"17:57","startHours":17.511699857444018,"endHours":17.954331824878707,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:16","end":"19:01","startHours":17.261699857444018,"endHours":19.011699857444018,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:33","startHours":23.84601067428002,"endHours":24.554221822175517,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:53","end":"08:13","startHours":6.88853263901152,"endHours":8.216428541315583,"quality":"auspicious"},{"name":"Kāla","start":"08:13","end":"09:33","startHours":8.216428541315583,"endHours":9.544324443619644,"quality":"inauspicious"},{"name":"Śubha","start":"09:33","end":"10:52","startHours":9.544324443619644,"endHours":10.872220345923708,"quality":"auspicious"},{"name":"Roga","start":"10:52","end":"12:12","startHours":10.872220345923708,"endHours":12.200116248227769,"quality":"inauspicious"},{"name":"Udveg","start":"12:12","end":"13:32","startHours":12.200116248227769,"endHours":13.528012150531833,"quality":"inauspicious"},{"name":"Chala","start":"13:32","end":"14:51","startHours":13.528012150531833,"endHours":14.855908052835893,"quality":"neutral"},{"name":"Labha","start":"14:51","end":"16:11","startHours":14.855908052835893,"endHours":16.183803955139958,"quality":"auspicious"},{"name":"Amṛta","start":"16:11","end":"17:31","startHours":16.183803955139958,"endHours":17.511699857444018,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:31","end":"19:11","startHours":17.511699857444018,"endHours":19.183803955139958,"quality":"neutral"},{"name":"Labha","start":"19:11","end":"20:51","startHours":19.183803955139958,"endHours":20.855908052835893,"quality":"auspicious"},{"name":"Amṛta","start":"20:51","end":"22:32","startHours":20.855908052835893,"endHours":22.52801215053183,"quality":"auspicious"},{"name":"Kāla","start":"22:32","end":"00:12","startHours":22.52801215053183,"endHours":24.20011624822777,"quality":"inauspicious"},{"name":"Śubha","start":"00:12","end":"01:52","startHours":24.20011624822777,"endHours":25.872220345923708,"quality":"auspicious"},{"name":"Roga","start":"01:52","end":"03:33","startHours":25.872220345923708,"endHours":27.544324443619644,"quality":"inauspicious"},{"name":"Udveg","start":"03:33","end":"05:13","startHours":27.544324443619644,"endHours":29.21642854131558,"quality":"inauspicious"},{"name":"Chala","start":"05:13","end":"06:53","startHours":29.21642854131558,"endHours":30.88853263901152,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:53","end":"07:53","startHours":6.88853263901152,"endHours":7.88853263901152,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:53","end":"08:53","startHours":7.88853263901152,"endHours":8.888532639011519,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:53","end":"09:53","startHours":8.888532639011519,"endHours":9.888532639011519,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:53","end":"10:53","startHours":9.888532639011519,"endHours":10.888532639011519,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:53","end":"11:53","startHours":10.888532639011519,"endHours":11.888532639011519,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:53","end":"12:53","startHours":11.888532639011519,"endHours":12.888532639011519,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:53","end":"13:53","startHours":12.888532639011519,"endHours":13.888532639011519,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:53","end":"14:53","startHours":13.888532639011519,"endHours":14.888532639011519,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:53","end":"15:53","startHours":14.888532639011519,"endHours":15.888532639011519,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:53","end":"16:53","startHours":15.888532639011519,"endHours":16.88853263901152,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:53","end":"17:53","startHours":16.88853263901152,"endHours":17.88853263901152,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:53","end":"18:53","startHours":17.88853263901152,"endHours":18.88853263901152,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:53","end":"19:53","startHours":18.88853263901152,"endHours":19.88853263901152,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:53","end":"20:53","startHours":19.88853263901152,"endHours":20.88853263901152,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:53","end":"21:53","startHours":20.88853263901152,"endHours":21.88853263901152,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:53","end":"22:53","startHours":21.88853263901152,"endHours":22.88853263901152,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:53","end":"23:53","startHours":22.88853263901152,"endHours":23.88853263901152,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:53","end":"00:53","startHours":23.88853263901152,"endHours":24.88853263901152,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:53","end":"01:53","startHours":24.88853263901152,"endHours":25.88853263901152,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:53","end":"02:53","startHours":25.88853263901152,"endHours":26.88853263901152,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:53","end":"03:53","startHours":26.88853263901152,"endHours":27.88853263901152,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:53","end":"04:53","startHours":27.88853263901152,"endHours":28.88853263901152,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:53","end":"05:53","startHours":28.88853263901152,"endHours":29.88853263901152,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:53","end":"06:53","startHours":29.88853263901152,"endHours":30.88853263901152,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.71271761224823,"eotMinutes":7.298225106333945,"ayanamsa":-47.8945}},"calendars":{"vikram_samvat":-3080,"saka_samvat":-3215,"bengali_samvat":-3730,"malayalam_era":-3961,"nanakshahi_year":-4606,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Pañcamī · Vikram -3080 undefined · Śaka -3215 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 8, 3138 BCE · Mathurā · Vidhyamitra","description":"December 8, 3138 BCE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 06:53, sūryāsta 17:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3137-12-08","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3137-12-08","sa":"https://sa.vidhyamitra.com/city/mathura/-3137-12-08","hi":"https://hi.vidhyamitra.com/city/mathura/-3137-12-08","x-default":"https://vidhyamitra.com/city/mathura/-3137-12-08"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T12:18:34.686Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-09-06T12:18:34.686Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T12:18:34.686Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}