{"id":"vidhyamitra:city-day:mathura:-3206-01-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3206-01-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3206-01-05","date_display":"January 5, 3207 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":-3206,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":550070.770833,"kali_year":-105,"ahargana":-38394.7292,"sun":{"sidereal_longitude":320.1678,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":253.712,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":293.5441,"elapsed_within_tithi_degrees":5.5441},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":253.712,"elapsed_within_degrees":0.3786},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":213.8798},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":-3206,"month":1,"day":5,"hour":6,"minute":30,"calendar":"julian"},"julian_day":550070.770833,"ahargana":-38394.7292,"kali_year":-105,"ayanamsa_lahiri":-48.8713,"grahas":{"sun":{"sidereal_longitude":320.1678,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":253.712,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false,"latitude":-1.4915},"mars":{"sidereal_longitude":18.1176,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":291.7016,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":43.3406,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":354.6066,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":168.4839,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":54.3375,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":234.3375,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"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":-3206,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":550070.770833,"kali_year":-105,"ahargana":-38394.7292,"sun":{"sidereal_longitude":320.1678,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":253.712,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":293.5441,"elapsed_within_tithi_degrees":5.5441},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":253.712,"elapsed_within_degrees":0.3786},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":213.8798},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.491,"elongation":66.456},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.491,"opposition_distance":113.544}},"eclipse_window_40days":[]},"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":10.40196546079784,"dayLengthDisplay":"10 Hours 24 Mins 07 Secs","nightLengthDisplay":"13 Hours 35 Mins 53 Secs","moonriseLocal":"02:16","moonsetLocal":"13:41","rahuKala":{"name":"Rāhu Kāla","start":"11:07","end":"12:25","startHours":11.112387161136322,"endHours":12.412632843736052,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:01","end":"16:19","startHours":15.013124208935512,"endHours":16.313369891535242,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:31","end":"09:49","startHours":8.511895795936862,"endHours":9.812141478536592,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:59","startHours":9.638775387523296,"endHours":9.98550756954989,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:55","startHours":7.645065340870375,"endHours":7.922451086491651,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:46","startHours":12.065900661709458,"endHours":12.759365025762646,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:49","end":"06:31","startHours":5.824721385230753,"endHours":6.518185749283943,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:21","end":"07:13","startHours":6.344819658270645,"endHours":7.211650113337132,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:50","startHours":14.146293753869026,"endHours":14.839758117922216,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.413615574134973,"endHours":17.81361557413497,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.613615574134972,"endHours":18.047030801668214,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.363615574134972,"endHours":19.113615574134972,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:46","startHours":24.065900661709456,"endHours":24.759365025762648,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:13","end":"08:31","startHours":7.211650113337132,"endHours":8.511895795936862,"quality":"neutral"},{"name":"Labha","start":"08:31","end":"09:49","startHours":8.511895795936862,"endHours":9.812141478536592,"quality":"auspicious"},{"name":"Amṛta","start":"09:49","end":"11:07","startHours":9.812141478536592,"endHours":11.112387161136322,"quality":"auspicious"},{"name":"Kāla","start":"11:07","end":"12:25","startHours":11.112387161136322,"endHours":12.412632843736052,"quality":"inauspicious"},{"name":"Śubha","start":"12:25","end":"13:43","startHours":12.412632843736052,"endHours":13.712878526335782,"quality":"auspicious"},{"name":"Roga","start":"13:43","end":"15:01","startHours":13.712878526335782,"endHours":15.013124208935512,"quality":"inauspicious"},{"name":"Udveg","start":"15:01","end":"16:19","startHours":15.013124208935512,"endHours":16.313369891535242,"quality":"inauspicious"},{"name":"Chala","start":"16:19","end":"17:37","startHours":16.313369891535242,"endHours":17.613615574134972,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:37","end":"19:19","startHours":17.613615574134972,"endHours":19.313369891535242,"quality":"inauspicious"},{"name":"Udveg","start":"19:19","end":"21:01","startHours":19.313369891535242,"endHours":21.013124208935512,"quality":"inauspicious"},{"name":"Chala","start":"21:01","end":"22:43","startHours":21.013124208935512,"endHours":22.712878526335782,"quality":"neutral"},{"name":"Labha","start":"22:43","end":"00:25","startHours":22.712878526335782,"endHours":24.412632843736052,"quality":"auspicious"},{"name":"Amṛta","start":"00:25","end":"02:07","startHours":24.412632843736052,"endHours":26.112387161136322,"quality":"auspicious"},{"name":"Kāla","start":"02:07","end":"03:49","startHours":26.112387161136322,"endHours":27.812141478536592,"quality":"inauspicious"},{"name":"Śubha","start":"03:49","end":"05:31","startHours":27.812141478536592,"endHours":29.511895795936862,"quality":"auspicious"},{"name":"Roga","start":"05:31","end":"07:13","startHours":29.511895795936862,"endHours":31.211650113337132,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.211650113337132,"endHours":8.211650113337132,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.211650113337132,"endHours":9.211650113337132,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.211650113337132,"endHours":10.211650113337132,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.211650113337132,"endHours":11.211650113337132,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.211650113337132,"endHours":12.211650113337132,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.211650113337132,"endHours":13.211650113337132,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.211650113337132,"endHours":14.211650113337132,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.211650113337132,"endHours":15.211650113337132,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.211650113337132,"endHours":16.211650113337132,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.211650113337132,"endHours":17.211650113337132,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.211650113337132,"endHours":18.211650113337132,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.211650113337132,"endHours":19.211650113337132,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.211650113337132,"endHours":20.211650113337132,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.211650113337132,"endHours":21.211650113337132,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.211650113337132,"endHours":22.211650113337132,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.211650113337132,"endHours":23.211650113337132,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.211650113337132,"endHours":24.211650113337132,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.211650113337132,"endHours":25.211650113337132,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.211650113337132,"endHours":26.211650113337132,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.211650113337132,"endHours":27.211650113337132,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.211650113337132,"endHours":28.211650113337132,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.211650113337132,"endHours":29.211650113337132,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.211650113337132,"endHours":30.211650113337132,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.211650113337132,"endHours":31.211650113337132,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Maitra","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":-23.43014160181506,"eotMinutes":-5.452770624163118,"ayanamsa":-48.8713}},"calendars":{"vikram_samvat":-3149,"saka_samvat":-3284,"bengali_samvat":-3799,"malayalam_era":-4030,"nanakshahi_year":-4675,"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 Daśamī · Vikram -3149 undefined · Śaka -3284 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 5, 3207 BCE · Mathurā · Vidhyamitra","description":"January 5, 3207 BCE for Mathurā: Kṛṣṇa Daśamī, sūryodaya 07:13, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3206-01-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3206-01-05","sa":"https://sa.vidhyamitra.com/city/mathura/-3206-01-05","hi":"https://hi.vidhyamitra.com/city/mathura/-3206-01-05","x-default":"https://vidhyamitra.com/city/mathura/-3206-01-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-07T23:05:46.803Z","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":"2026-09-07T23:05:46.803Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-07T23:05:46.803Z","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"}}}