{"id":"vidhyamitra:city-day:mathura:-3101-01-08:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3101-01-08","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3101-01-08","date_display":"January 8, 3102 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":-3101,"month":1,"day":8,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588424.770833,"kali_year":0,"ahargana":-40.7292,"sun":{"sidereal_longitude":322.0053,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":178.6751,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":216.6698,"elapsed_within_tithi_degrees":0.6698},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":178.6751,"elapsed_within_degrees":5.3418},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":140.6804},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":-3101,"month":1,"day":8,"hour":6,"minute":30,"calendar":"julian"},"julian_day":588424.770833,"ahargana":-40.7292,"kali_year":0,"ayanamsa_lahiri":-47.4044,"grahas":{"sun":{"sidereal_longitude":322.0053,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":178.6751,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false,"latitude":-0.2731},"mars":{"sidereal_longitude":334.2143,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":293.8005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":351.8498,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":310.2306,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":347.4418,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":182.158,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":2.158,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":-3101,"month":1,"day":8,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588424.770833,"kali_year":0,"ahargana":-40.7292,"sun":{"sidereal_longitude":322.0053,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":178.6751,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":216.6698,"elapsed_within_tithi_degrees":0.6698},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":178.6751,"elapsed_within_degrees":5.3418},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":140.6804},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.273,"elongation":143.33},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.273,"opposition_distance":36.67}},"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":"07:14","sunsetLocal":"17:38","solarNoonLocal":"12:26","dayLengthHours":10.408089519919436,"dayLengthDisplay":"10 Hours 24 Mins 29 Secs","nightLengthDisplay":"13 Hours 35 Mins 31 Secs","moonriseLocal":"20:12","moonsetLocal":"09:33","rahuKala":{"name":"Rāhu Kāla","start":"09:50","end":"11:08","startHours":9.831426847242266,"endHours":11.132438037232195,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:44","end":"15:02","startHours":13.734460417212054,"endHours":15.035471607201984,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:14","end":"08:32","startHours":7.229404467262406,"endHours":8.530415657252336,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.65795868857694,"endHours":10.004895005907589,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:56","startHours":7.663074863925716,"endHours":7.9406239177902345,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:47","startHours":12.086512909891475,"endHours":12.780385544552772,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:50","end":"06:32","startHours":5.841659197939815,"endHours":6.5355318326011105,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.362063673935786,"endHours":7.229404467262406,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:10","end":"14:52","startHours":14.168130813875363,"endHours":14.862003448536658,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:26","end":"17:50","startHours":17.437493987181842,"endHours":17.83749398718184,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:38","end":"18:04","startHours":17.63749398718184,"endHours":18.07116438384515,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:23","end":"19:08","startHours":17.38749398718184,"endHours":19.13749398718184,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:47","startHours":24.086512909891475,"endHours":24.78038554455277,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:14","end":"08:32","startHours":7.229404467262406,"endHours":8.530415657252336,"quality":"inauspicious"},{"name":"Śubha","start":"08:32","end":"09:50","startHours":8.530415657252336,"endHours":9.831426847242266,"quality":"auspicious"},{"name":"Roga","start":"09:50","end":"11:08","startHours":9.831426847242266,"endHours":11.132438037232195,"quality":"inauspicious"},{"name":"Udveg","start":"11:08","end":"12:26","startHours":11.132438037232195,"endHours":12.433449227222123,"quality":"inauspicious"},{"name":"Chala","start":"12:26","end":"13:44","startHours":12.433449227222123,"endHours":13.734460417212054,"quality":"neutral"},{"name":"Labha","start":"13:44","end":"15:02","startHours":13.734460417212054,"endHours":15.035471607201984,"quality":"auspicious"},{"name":"Amṛta","start":"15:02","end":"16:20","startHours":15.035471607201984,"endHours":16.336482797191913,"quality":"auspicious"},{"name":"Kāla","start":"16:20","end":"17:38","startHours":16.336482797191913,"endHours":17.63749398718184,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:38","end":"19:20","startHours":17.63749398718184,"endHours":19.336482797191913,"quality":"auspicious"},{"name":"Amṛta","start":"19:20","end":"21:02","startHours":19.336482797191913,"endHours":21.035471607201984,"quality":"auspicious"},{"name":"Kāla","start":"21:02","end":"22:44","startHours":21.035471607201984,"endHours":22.734460417212052,"quality":"inauspicious"},{"name":"Śubha","start":"22:44","end":"00:26","startHours":22.734460417212052,"endHours":24.433449227222123,"quality":"auspicious"},{"name":"Roga","start":"00:26","end":"02:08","startHours":24.433449227222123,"endHours":26.132438037232195,"quality":"inauspicious"},{"name":"Udveg","start":"02:08","end":"03:50","startHours":26.132438037232195,"endHours":27.831426847242263,"quality":"inauspicious"},{"name":"Chala","start":"03:50","end":"05:32","startHours":27.831426847242263,"endHours":29.530415657252334,"quality":"neutral"},{"name":"Labha","start":"05:32","end":"07:14","startHours":29.530415657252334,"endHours":31.229404467262405,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.229404467262406,"endHours":8.229404467262405,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.229404467262405,"endHours":9.229404467262405,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.229404467262405,"endHours":10.229404467262405,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.229404467262405,"endHours":11.229404467262405,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.229404467262405,"endHours":12.229404467262405,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.229404467262405,"endHours":13.229404467262405,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.229404467262405,"endHours":14.229404467262405,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.229404467262405,"endHours":15.229404467262405,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.229404467262405,"endHours":16.229404467262405,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.229404467262405,"endHours":17.229404467262405,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.229404467262405,"endHours":18.229404467262405,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.229404467262405,"endHours":19.229404467262405,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.229404467262405,"endHours":20.229404467262405,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.229404467262405,"endHours":21.229404467262405,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.229404467262405,"endHours":22.229404467262405,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.229404467262405,"endHours":23.229404467262405,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.229404467262405,"endHours":24.229404467262405,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.229404467262405,"endHours":25.229404467262405,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.229404467262405,"endHours":26.229404467262405,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.229404467262405,"endHours":27.229404467262405,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.229404467262405,"endHours":28.229404467262405,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.229404467262405,"endHours":29.229404467262405,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.229404467262405,"endHours":30.229404467262405,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.229404467262405,"endHours":31.229404467262405,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.356488470801764,"eotMinutes":-6.7017536333273355,"ayanamsa":-47.4044}},"calendars":{"vikram_samvat":-3044,"saka_samvat":-3179,"bengali_samvat":-3694,"malayalam_era":-3925,"nanakshahi_year":-4570,"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 Caturthī · Vikram -3044 undefined · Śaka -3179 undefined"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Dedicated festival walk for Saṅkaṣṭī Caturthī is not live yet; Śanivāra (Saturday) — 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 8, 3102 BCE · Mathurā · Vidhyamitra","description":"January 8, 3102 BCE for Mathurā: Kṛṣṇa Caturthī, sūryodaya 07:14, sūryāsta 17:38.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3101-01-08","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3101-01-08","sa":"https://sa.vidhyamitra.com/city/mathura/-3101-01-08","hi":"https://hi.vidhyamitra.com/city/mathura/-3101-01-08","x-default":"https://vidhyamitra.com/city/mathura/-3101-01-08"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T11:53:31.385Z","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":"2026-08-10T11:53:31.385Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T11:53:31.385Z","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":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"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"}}}