{"id":"vidhyamitra:city-day:mathura:-3163-01-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3163-01-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3163-01-06","date_display":"January 6, 3164 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":-3163,"month":1,"day":6,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565777.770833,"kali_year":-62,"ahargana":-22687.7292,"sun":{"sidereal_longitude":321.0449,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":215.4736,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":254.4287,"elapsed_within_tithi_degrees":2.4287},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":215.4736,"elapsed_within_degrees":2.1403},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":176.5185},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":-3163,"month":1,"day":6,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565777.770833,"ahargana":-22687.7292,"kali_year":-62,"ayanamsa_lahiri":-48.2705,"grahas":{"sun":{"sidereal_longitude":321.0449,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":215.4736,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false,"latitude":-4.4922},"mars":{"sidereal_longitude":342.7796,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":333.3414,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":277.7389,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":341.5865,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":312.8347,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":302.1051,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":122.1051,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":-3163,"month":1,"day":6,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565777.770833,"kali_year":-62,"ahargana":-22687.7292,"sun":{"sidereal_longitude":321.0449,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":215.4736,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":254.4287,"elapsed_within_tithi_degrees":2.4287},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":215.4736,"elapsed_within_degrees":2.1403},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":176.5185},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.492,"elongation":105.571},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.492,"opposition_distance":74.429}},"eclipse_window_40days":[{"offset_days":-6,"type":"lunar","occurs":true,"moon_latitude":-0.952,"opposition_distance":0.355}]},"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":"07:13","sunsetLocal":"17:37","solarNoonLocal":"12:25","dayLengthHours":10.403857980613566,"dayLengthDisplay":"10 Hours 24 Mins 14 Secs","nightLengthDisplay":"13 Hours 35 Mins 46 Secs","moonriseLocal":"23:10","moonsetLocal":"11:36","rahuKala":{"name":"Rāhu Kāla","start":"13:43","end":"15:01","startHours":13.720162599359593,"endHours":15.020644846936289,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:13","end":"08:31","startHours":7.217751361476114,"endHours":8.51823360905281,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:49","end":"11:07","startHours":9.818715856629506,"endHours":11.119198104206202,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.64531822361928,"endHours":9.992113489639731,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:56","startHours":7.651245444001679,"endHours":7.928681656818041,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:46","startHours":12.072885085762445,"endHours":12.76647561780335,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:50","end":"06:31","startHours":5.8305702973943045,"endHours":6.52416082943521,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:21","end":"07:13","startHours":6.3507631964249835,"endHours":7.217751361476114,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.153656681885156,"endHours":14.84724721392606,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.42160934208968,"endHours":17.82160934208968,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.62160934208968,"endHours":18.055103424615247,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.37160934208968,"endHours":19.12160934208968,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:46","startHours":24.072885085762444,"endHours":24.76647561780335,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:13","end":"08:31","startHours":7.217751361476114,"endHours":8.51823360905281,"quality":"auspicious"},{"name":"Roga","start":"08:31","end":"09:49","startHours":8.51823360905281,"endHours":9.818715856629506,"quality":"inauspicious"},{"name":"Udveg","start":"09:49","end":"11:07","startHours":9.818715856629506,"endHours":11.119198104206202,"quality":"inauspicious"},{"name":"Chala","start":"11:07","end":"12:25","startHours":11.119198104206202,"endHours":12.419680351782898,"quality":"neutral"},{"name":"Labha","start":"12:25","end":"13:43","startHours":12.419680351782898,"endHours":13.720162599359593,"quality":"auspicious"},{"name":"Amṛta","start":"13:43","end":"15:01","startHours":13.720162599359593,"endHours":15.020644846936289,"quality":"auspicious"},{"name":"Kāla","start":"15:01","end":"16:19","startHours":15.020644846936289,"endHours":16.321127094512985,"quality":"inauspicious"},{"name":"Śubha","start":"16:19","end":"17:37","startHours":16.321127094512985,"endHours":17.62160934208968,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:37","end":"19:19","startHours":17.62160934208968,"endHours":19.321127094512985,"quality":"auspicious"},{"name":"Kāla","start":"19:19","end":"21:01","startHours":19.321127094512985,"endHours":21.02064484693629,"quality":"inauspicious"},{"name":"Śubha","start":"21:01","end":"22:43","startHours":21.02064484693629,"endHours":22.720162599359593,"quality":"auspicious"},{"name":"Roga","start":"22:43","end":"00:25","startHours":22.720162599359593,"endHours":24.419680351782898,"quality":"inauspicious"},{"name":"Udveg","start":"00:25","end":"02:07","startHours":24.419680351782898,"endHours":26.119198104206202,"quality":"inauspicious"},{"name":"Chala","start":"02:07","end":"03:49","startHours":26.119198104206202,"endHours":27.818715856629506,"quality":"neutral"},{"name":"Labha","start":"03:49","end":"05:31","startHours":27.818715856629506,"endHours":29.51823360905281,"quality":"auspicious"},{"name":"Amṛta","start":"05:31","end":"07:13","startHours":29.51823360905281,"endHours":31.217751361476115,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.217751361476114,"endHours":8.217751361476115,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.217751361476115,"endHours":9.217751361476115,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.217751361476115,"endHours":10.217751361476115,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.217751361476115,"endHours":11.217751361476115,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.217751361476115,"endHours":12.217751361476115,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.217751361476115,"endHours":13.217751361476115,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.217751361476115,"endHours":14.217751361476115,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.217751361476115,"endHours":15.217751361476115,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.217751361476115,"endHours":16.217751361476115,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.217751361476115,"endHours":17.217751361476115,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.217751361476115,"endHours":18.217751361476115,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.217751361476115,"endHours":19.217751361476115,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.217751361476115,"endHours":20.217751361476115,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.217751361476115,"endHours":21.217751361476115,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.217751361476115,"endHours":22.217751361476115,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.217751361476115,"endHours":23.217751361476115,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.217751361476115,"endHours":24.217751361476115,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.217751361476115,"endHours":25.217751361476115,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.217751361476115,"endHours":26.217751361476115,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.217751361476115,"endHours":27.217751361476115,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.217751361476115,"endHours":28.217751361476115,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.217751361476115,"endHours":29.217751361476115,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.217751361476115,"endHours":30.217751361476115,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.217751361476115,"endHours":31.217751361476115,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-East","rahuVasa":"North-West","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.40739033928123,"eotMinutes":-5.875621106973772,"ayanamsa":-48.2705}},"calendars":{"vikram_samvat":-3106,"saka_samvat":-3241,"bengali_samvat":-3756,"malayalam_era":-3987,"nanakshahi_year":-4632,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Kṛṣṇa Saptamī · Vikram -3106 undefined · Śaka -3241 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 January 6, 3164 BCE · Mathurā · Vidhyamitra","description":"January 6, 3164 BCE for Mathurā: Kṛṣṇa Saptamī, sūryodaya 07:13, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3163-01-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3163-01-06","sa":"https://sa.vidhyamitra.com/city/mathura/-3163-01-06","hi":"https://hi.vidhyamitra.com/city/mathura/-3163-01-06","x-default":"https://vidhyamitra.com/city/mathura/-3163-01-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T22:39:24.800Z","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":"2026-09-08T22:39:24.800Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T22:39:24.800Z","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"}}}