{"id":"vidhyamitra:city-day:ujjain:-3171-10-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-3171-10-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3171-10-18","date_display":"October 18, 3172 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":-3171,"month":10,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563140.770833,"kali_year":-69,"ahargana":-25324.7292,"sun":{"sidereal_longitude":239.1534,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":37.8519,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":158.6985,"elapsed_within_tithi_degrees":2.6985},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":37.8519,"elapsed_within_degrees":11.1852},"yoga":{"number":21,"name":"Siddha","sum_longitude":277.0052},"karana":{"half_tithi_index":26,"name":"Gara"},"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":-3171,"month":10,"day":18,"hour":6,"minute":30,"calendar":"julian"},"julian_day":563140.770833,"ahargana":-25324.7292,"kali_year":-69,"ayanamsa_lahiri":-48.3714,"grahas":{"sun":{"sidereal_longitude":239.1534,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":37.8519,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false,"latitude":-3.1228},"mars":{"sidereal_longitude":63.9646,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":246.0511,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":61.0175,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":192.2389,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":234.7697,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":81.826,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":261.826,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":-3171,"month":10,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563140.770833,"kali_year":-69,"ahargana":-25324.7292,"sun":{"sidereal_longitude":239.1534,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":37.8519,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":158.6985,"elapsed_within_tithi_degrees":2.6985},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":37.8519,"elapsed_within_degrees":11.1852},"yoga":{"number":21,"name":"Siddha","sum_longitude":277.0052},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.123,"elongation":158.698},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.123,"opposition_distance":21.302}},"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":"06:15","sunsetLocal":"18:08","solarNoonLocal":"12:11","dayLengthHours":11.877121272129543,"dayLengthDisplay":"11 Hours 52 Mins 38 Secs","nightLengthDisplay":"12 Hours 07 Mins 22 Secs","moonriseLocal":"16:51","moonsetLocal":"04:42","rahuKala":{"name":"Rāhu Kāla","start":"09:13","end":"10:42","startHours":9.221558711913975,"endHours":10.706198870930166,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:41","end":"15:10","startHours":13.675479188962552,"endHours":15.160119347978746,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:15","end":"07:44","startHours":6.252278393881588,"endHours":7.736918552897781,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:25","startHours":9.023606690711816,"endHours":9.419510733116134,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:45","end":"07:04","startHours":6.747158446886986,"endHours":7.06388168081044,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:35","startHours":11.794934987542042,"endHours":12.586743072350679,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:40","end":"05:28","startHours":4.668662224264316,"endHours":5.460470309072952,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:16","end":"06:15","startHours":5.262518287870793,"endHours":6.252278393881588,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:10","end":"14:58","startHours":14.170359241967951,"endHours":14.962167326776587,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:56","end":"18:20","startHours":17.929399666011133,"endHours":18.32939966601113,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:08","end":"18:37","startHours":18.129399666011132,"endHours":18.624279719016528,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:53","end":"19:38","startHours":17.879399666011132,"endHours":19.629399666011132,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:35","startHours":23.794934987542042,"endHours":24.58674307235068,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:15","end":"07:44","startHours":6.252278393881588,"endHours":7.736918552897781,"quality":"inauspicious"},{"name":"Śubha","start":"07:44","end":"09:13","startHours":7.736918552897781,"endHours":9.221558711913975,"quality":"auspicious"},{"name":"Roga","start":"09:13","end":"10:42","startHours":9.221558711913975,"endHours":10.706198870930166,"quality":"inauspicious"},{"name":"Udveg","start":"10:42","end":"12:11","startHours":10.706198870930166,"endHours":12.19083902994636,"quality":"inauspicious"},{"name":"Chala","start":"12:11","end":"13:41","startHours":12.19083902994636,"endHours":13.675479188962552,"quality":"neutral"},{"name":"Labha","start":"13:41","end":"15:10","startHours":13.675479188962552,"endHours":15.160119347978746,"quality":"auspicious"},{"name":"Amṛta","start":"15:10","end":"16:39","startHours":15.160119347978746,"endHours":16.644759506994937,"quality":"auspicious"},{"name":"Kāla","start":"16:39","end":"18:08","startHours":16.644759506994937,"endHours":18.129399666011132,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:08","end":"19:39","startHours":18.129399666011132,"endHours":19.644759506994937,"quality":"auspicious"},{"name":"Amṛta","start":"19:39","end":"21:10","startHours":19.644759506994937,"endHours":21.160119347978746,"quality":"auspicious"},{"name":"Kāla","start":"21:10","end":"22:41","startHours":21.160119347978746,"endHours":22.675479188962555,"quality":"inauspicious"},{"name":"Śubha","start":"22:41","end":"00:11","startHours":22.675479188962555,"endHours":24.19083902994636,"quality":"auspicious"},{"name":"Roga","start":"00:11","end":"01:42","startHours":24.19083902994636,"endHours":25.706198870930166,"quality":"inauspicious"},{"name":"Udveg","start":"01:42","end":"03:13","startHours":25.706198870930166,"endHours":27.221558711913975,"quality":"inauspicious"},{"name":"Chala","start":"03:13","end":"04:44","startHours":27.221558711913975,"endHours":28.736918552897784,"quality":"neutral"},{"name":"Labha","start":"04:44","end":"06:15","startHours":28.736918552897784,"endHours":30.25227839388159,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:15","end":"07:15","startHours":6.252278393881588,"endHours":7.252278393881588,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:15","end":"08:15","startHours":7.252278393881588,"endHours":8.25227839388159,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:15","end":"09:15","startHours":8.25227839388159,"endHours":9.25227839388159,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:15","end":"10:15","startHours":9.25227839388159,"endHours":10.25227839388159,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:15","end":"11:15","startHours":10.25227839388159,"endHours":11.25227839388159,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:15","end":"12:15","startHours":11.25227839388159,"endHours":12.25227839388159,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:15","end":"13:15","startHours":12.25227839388159,"endHours":13.25227839388159,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:15","end":"14:15","startHours":13.25227839388159,"endHours":14.25227839388159,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:15","end":"15:15","startHours":14.25227839388159,"endHours":15.25227839388159,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:15","end":"16:15","startHours":15.25227839388159,"endHours":16.25227839388159,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:15","end":"17:15","startHours":16.25227839388159,"endHours":17.25227839388159,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:15","end":"18:15","startHours":17.25227839388159,"endHours":18.25227839388159,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:15","end":"19:15","startHours":18.25227839388159,"endHours":19.25227839388159,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:15","end":"20:15","startHours":19.25227839388159,"endHours":20.25227839388159,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:15","end":"21:15","startHours":20.25227839388159,"endHours":21.25227839388159,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:15","end":"22:15","startHours":21.25227839388159,"endHours":22.25227839388159,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:15","end":"23:15","startHours":22.25227839388159,"endHours":23.25227839388159,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:15","end":"00:15","startHours":23.25227839388159,"endHours":24.25227839388159,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:15","end":"01:15","startHours":24.25227839388159,"endHours":25.25227839388159,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:15","end":"02:15","startHours":25.25227839388159,"endHours":26.25227839388159,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:15","end":"03:15","startHours":26.25227839388159,"endHours":27.25227839388159,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:15","end":"04:15","startHours":27.25227839388159,"endHours":28.25227839388159,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:15","end":"05:15","startHours":28.25227839388159,"endHours":29.25227839388159,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:15","end":"06:15","startHours":29.25227839388159,"endHours":30.25227839388159,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-4.267029453153133,"eotMinutes":15.395658203218455,"ayanamsa":-48.3714}},"calendars":{"vikram_samvat":-3114,"saka_samvat":-3249,"bengali_samvat":-3764,"malayalam_era":-3995,"nanakshahi_year":-4640,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Caturdaśī · Vikram -3114 undefined · Śaka -3249 undefined"},"festivals":[],"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":"Śanivāra (Saturday) — 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 October 18, 3172 BCE · Ujjain · Vidhyamitra","description":"October 18, 3172 BCE for Ujjain: Śukla Caturdaśī, sūryodaya 06:15, sūryāsta 18:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-3171-10-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-3171-10-18","sa":"https://sa.vidhyamitra.com/city/ujjain/-3171-10-18","hi":"https://hi.vidhyamitra.com/city/ujjain/-3171-10-18","x-default":"https://vidhyamitra.com/city/ujjain/-3171-10-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T12:19:26.871Z","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":"2026-09-06T12:19:26.871Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T12:19:26.871Z","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"}}}