{"id":"vidhyamitra:city-day:ujjain:-3101-01-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-3101-01-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3101-01-18","date_display":"January 18, 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":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588434.770833,"kali_year":0,"ahargana":-30.7292,"sun":{"sidereal_longitude":332.0025,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":320.3793,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":348.3768,"elapsed_within_tithi_degrees":0.3768},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":320.3793,"elapsed_within_degrees":0.3793},"yoga":{"number":22,"name":"Sādhya","sum_longitude":292.3818},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":18,"hour":6,"minute":30,"calendar":"julian"},"julian_day":588434.770833,"ahargana":-30.7292,"kali_year":0,"ayanamsa_lahiri":-47.404,"grahas":{"sun":{"sidereal_longitude":332.0025,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":320.3793,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":2.9653},"mars":{"sidereal_longitude":341.9336,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":304.6357,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":354.114,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":322.7744,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":348.6907,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":181.6282,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":1.6282,"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":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588434.770833,"kali_year":0,"ahargana":-30.7292,"sun":{"sidereal_longitude":332.0025,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":320.3793,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":348.3768,"elapsed_within_tithi_degrees":0.3768},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":320.3793,"elapsed_within_degrees":0.3793},"yoga":{"number":22,"name":"Sādhya","sum_longitude":292.3818},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.965,"elongation":11.623},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.965,"opposition_distance":168.377}},"eclipse_window_40days":[]},"city":{"slug":"ujjain","name":"Ujjain","lat":23.1765,"lon":75.7885,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"ujjain","name":"Ujjain","lat":23.1765,"lon":75.7885,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:14","sunsetLocal":"18:00","solarNoonLocal":"12:37","dayLengthHours":10.761596873332032,"dayLengthDisplay":"10 Hours 45 Mins 42 Secs","nightLengthDisplay":"13 Hours 14 Mins 18 Secs","moonriseLocal":"06:31","moonsetLocal":"17:11","rahuKala":{"name":"Rāhu Kāla","start":"15:19","end":"16:39","startHours":15.310319711361169,"endHours":16.655519320527674,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:56","end":"11:16","startHours":9.929521274695153,"endHours":11.274720883861658,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:37","end":"13:58","startHours":12.619920493028161,"endHours":13.965120102194664,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:45","end":"10:07","startHours":9.750161326806285,"endHours":10.10888122258402,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:41","end":"07:58","startHours":7.6875219260843135,"endHours":7.974497842706501,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:16","end":"12:59","startHours":12.261200597250427,"endHours":12.978640388805895,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:48","end":"06:31","startHours":5.8042424732512075,"endHours":6.521682264806676,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:21","end":"07:14","startHours":6.34232231691781,"endHours":7.239122056362145,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:25","end":"15:08","startHours":14.413519971916834,"endHours":15.130959763472303,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:48","end":"18:12","startHours":17.800718929694177,"endHours":18.200718929694176,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:00","end":"18:27","startHours":18.000718929694177,"endHours":18.449118799416343,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:45","end":"19:30","startHours":17.750718929694177,"endHours":19.500718929694177,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:16","end":"00:59","startHours":24.261200597250426,"endHours":24.978640388805896,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:14","end":"08:35","startHours":7.239122056362145,"endHours":8.584321665528648,"quality":"inauspicious"},{"name":"Udveg","start":"08:35","end":"09:56","startHours":8.584321665528648,"endHours":9.929521274695153,"quality":"inauspicious"},{"name":"Chala","start":"09:56","end":"11:16","startHours":9.929521274695153,"endHours":11.274720883861658,"quality":"neutral"},{"name":"Labha","start":"11:16","end":"12:37","startHours":11.274720883861658,"endHours":12.619920493028161,"quality":"auspicious"},{"name":"Amṛta","start":"12:37","end":"13:58","startHours":12.619920493028161,"endHours":13.965120102194664,"quality":"auspicious"},{"name":"Kāla","start":"13:58","end":"15:19","startHours":13.965120102194664,"endHours":15.310319711361169,"quality":"inauspicious"},{"name":"Śubha","start":"15:19","end":"16:39","startHours":15.310319711361169,"endHours":16.655519320527674,"quality":"auspicious"},{"name":"Roga","start":"16:39","end":"18:00","startHours":16.655519320527674,"endHours":18.000718929694177,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:00","end":"19:39","startHours":18.000718929694177,"endHours":19.655519320527674,"quality":"inauspicious"},{"name":"Śubha","start":"19:39","end":"21:19","startHours":19.655519320527674,"endHours":21.310319711361167,"quality":"auspicious"},{"name":"Roga","start":"21:19","end":"22:58","startHours":21.310319711361167,"endHours":22.965120102194664,"quality":"inauspicious"},{"name":"Udveg","start":"22:58","end":"00:37","startHours":22.965120102194664,"endHours":24.61992049302816,"quality":"inauspicious"},{"name":"Chala","start":"00:37","end":"02:16","startHours":24.61992049302816,"endHours":26.274720883861658,"quality":"neutral"},{"name":"Labha","start":"02:16","end":"03:56","startHours":26.274720883861658,"endHours":27.929521274695155,"quality":"auspicious"},{"name":"Amṛta","start":"03:56","end":"05:35","startHours":27.929521274695155,"endHours":29.58432166552865,"quality":"auspicious"},{"name":"Kāla","start":"05:35","end":"07:14","startHours":29.58432166552865,"endHours":31.239122056362145,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.239122056362145,"endHours":8.239122056362145,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.239122056362145,"endHours":9.239122056362145,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.239122056362145,"endHours":10.239122056362145,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.239122056362145,"endHours":11.239122056362145,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.239122056362145,"endHours":12.239122056362145,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.239122056362145,"endHours":13.239122056362145,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.239122056362145,"endHours":14.239122056362145,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.239122056362145,"endHours":15.239122056362145,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.239122056362145,"endHours":16.239122056362145,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.239122056362145,"endHours":17.239122056362145,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.239122056362145,"endHours":18.239122056362145,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.239122056362145,"endHours":19.239122056362145,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.239122056362145,"endHours":20.239122056362145,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.239122056362145,"endHours":21.239122056362145,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.239122056362145,"endHours":22.239122056362145,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.239122056362145,"endHours":23.239122056362145,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.239122056362145,"endHours":24.239122056362145,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.239122056362145,"endHours":25.239122056362145,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.239122056362145,"endHours":26.239122056362145,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.239122056362145,"endHours":27.239122056362145,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.239122056362145,"endHours":28.239122056362145,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.239122056362145,"endHours":29.239122056362145,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.239122056362145,"endHours":30.239122056362145,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.239122056362145,"endHours":31.239122056362145,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","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":-22.637034081155072,"eotMinutes":-10.349229581689698,"ayanamsa":-47.404}},"calendars":{"vikram_samvat":-3044,"saka_samvat":-3179,"bengali_samvat":-3694,"malayalam_era":-3925,"nanakshahi_year":-4570,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Amāvasyā · Vikram -3044 undefined · Śaka -3179 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"ujjain"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 18, 3102 BCE · Ujjain · Vidhyamitra","description":"January 18, 3102 BCE for Ujjain: Kṛṣṇa Amāvasyā, sūryodaya 07:14, sūryāsta 18:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-3101-01-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-3101-01-18","sa":"https://sa.vidhyamitra.com/city/ujjain/-3101-01-18","hi":"https://hi.vidhyamitra.com/city/ujjain/-3101-01-18","x-default":"https://vidhyamitra.com/city/ujjain/-3101-01-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T00:12:51.804Z","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":"2026-08-11T00:12:51.804Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T00:12:51.804Z","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"}}}