{"id":"vidhyamitra:city-day:indore:-3136-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/indore/-3136-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3136-01-20","date_display":"January 20, 3137 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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3136,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575652.770833,"kali_year":-35,"ahargana":-12812.7292,"sun":{"sidereal_longitude":334.0498,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":21.1372,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":47.0874,"elapsed_within_tithi_degrees":11.0874},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":21.1372,"elapsed_within_degrees":7.8039},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":355.1871},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":-3136,"month":1,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575652.770833,"ahargana":-12812.7292,"kali_year":-35,"ayanamsa_lahiri":-47.8929,"grahas":{"sun":{"sidereal_longitude":334.0498,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":21.1372,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":-3.9818},"mars":{"sidereal_longitude":98.6795,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":339.1065,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":11.0944,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":341.3701,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":288.3404,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":138.8801,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":318.8801,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3136,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575652.770833,"kali_year":-35,"ahargana":-12812.7292,"sun":{"sidereal_longitude":334.0498,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":21.1372,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":47.0874,"elapsed_within_tithi_degrees":11.0874},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":21.1372,"elapsed_within_degrees":7.8039},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":355.1871},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.982,"elongation":47.087},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.982,"opposition_distance":132.913}},"eclipse_window_40days":[{"offset_days":-18,"type":"lunar","occurs":true,"moon_latitude":-0.42,"opposition_distance":1.553}]},"city":{"slug":"indore","name":"Indore, Madhya Pradesh","lat":22.7196,"lon":75.8577,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"indore","name":"Indore, Madhya Pradesh","lat":22.7196,"lon":75.8577,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"07:13","sunsetLocal":"18:02","solarNoonLocal":"12:38","dayLengthHours":10.803121510825303,"dayLengthDisplay":"10 Hours 48 Mins 11 Secs","nightLengthDisplay":"13 Hours 11 Mins 49 Secs","moonriseLocal":"10:01","moonsetLocal":"21:31","rahuKala":{"name":"Rāhu Kāla","start":"15:20","end":"16:41","startHours":15.326338766660147,"endHours":16.67672895551331,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:55","end":"11:17","startHours":9.924778011247495,"endHours":11.275168200100659,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:38","end":"13:59","startHours":12.62555838895382,"endHours":13.975948577806985,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:45","end":"10:06","startHours":9.744725986067074,"endHours":10.104830036427916,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:58","startHours":7.674127696492224,"endHours":7.962210936780899,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:16","end":"12:59","startHours":12.265454338592978,"endHours":12.985662439314666,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:30","startHours":5.783581432097796,"endHours":6.503789532819483,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:13","startHours":6.323737507639061,"endHours":7.2239976335411695,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:09","startHours":14.426078640758039,"endHours":15.146286741479726,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:50","end":"18:14","startHours":17.827119144366474,"endHours":18.227119144366473,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:02","end":"18:29","startHours":18.027119144366473,"endHours":18.477249207317527,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:47","end":"19:32","startHours":17.777119144366473,"endHours":19.527119144366473,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:16","end":"00:59","startHours":24.265454338592978,"endHours":24.985662439314662,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:13","end":"08:34","startHours":7.2239976335411695,"endHours":8.574387822394332,"quality":"inauspicious"},{"name":"Udveg","start":"08:34","end":"09:55","startHours":8.574387822394332,"endHours":9.924778011247495,"quality":"inauspicious"},{"name":"Chala","start":"09:55","end":"11:17","startHours":9.924778011247495,"endHours":11.275168200100659,"quality":"neutral"},{"name":"Labha","start":"11:17","end":"12:38","startHours":11.275168200100659,"endHours":12.62555838895382,"quality":"auspicious"},{"name":"Amṛta","start":"12:38","end":"13:59","startHours":12.62555838895382,"endHours":13.975948577806985,"quality":"auspicious"},{"name":"Kāla","start":"13:59","end":"15:20","startHours":13.975948577806985,"endHours":15.326338766660147,"quality":"inauspicious"},{"name":"Śubha","start":"15:20","end":"16:41","startHours":15.326338766660147,"endHours":16.67672895551331,"quality":"auspicious"},{"name":"Roga","start":"16:41","end":"18:02","startHours":16.67672895551331,"endHours":18.027119144366473,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:02","end":"19:41","startHours":18.027119144366473,"endHours":19.676728955513312,"quality":"inauspicious"},{"name":"Śubha","start":"19:41","end":"21:20","startHours":19.676728955513312,"endHours":21.326338766660147,"quality":"auspicious"},{"name":"Roga","start":"21:20","end":"22:59","startHours":21.326338766660147,"endHours":22.975948577806985,"quality":"inauspicious"},{"name":"Udveg","start":"22:59","end":"00:38","startHours":22.975948577806985,"endHours":24.62555838895382,"quality":"inauspicious"},{"name":"Chala","start":"00:38","end":"02:17","startHours":24.62555838895382,"endHours":26.27516820010066,"quality":"neutral"},{"name":"Labha","start":"02:17","end":"03:55","startHours":26.27516820010066,"endHours":27.924778011247497,"quality":"auspicious"},{"name":"Amṛta","start":"03:55","end":"05:34","startHours":27.924778011247497,"endHours":29.574387822394336,"quality":"auspicious"},{"name":"Kāla","start":"05:34","end":"07:13","startHours":29.574387822394336,"endHours":31.22399763354117,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.2239976335411695,"endHours":8.22399763354117,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.22399763354117,"endHours":9.22399763354117,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.22399763354117,"endHours":10.22399763354117,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.22399763354117,"endHours":11.22399763354117,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.22399763354117,"endHours":12.22399763354117,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.22399763354117,"endHours":13.22399763354117,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.22399763354117,"endHours":14.22399763354117,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.22399763354117,"endHours":15.22399763354117,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.22399763354117,"endHours":16.22399763354117,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.22399763354117,"endHours":17.22399763354117,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.22399763354117,"endHours":18.22399763354117,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.22399763354117,"endHours":19.22399763354117,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.22399763354117,"endHours":20.22399763354117,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.22399763354117,"endHours":21.22399763354117,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.22399763354117,"endHours":22.22399763354117,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.22399763354117,"endHours":23.22399763354117,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.22399763354117,"endHours":24.22399763354117,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.22399763354117,"endHours":25.22399763354117,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.22399763354117,"endHours":26.22399763354117,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.22399763354117,"endHours":27.22399763354117,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.22399763354117,"endHours":28.22399763354117,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.22399763354117,"endHours":29.22399763354117,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.22399763354117,"endHours":30.22399763354117,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.22399763354117,"endHours":31.22399763354117,"planetary_lord":"Saturn"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","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":-22.459069062443973,"eotMinutes":-10.9643033372293,"ayanamsa":-47.8929}},"calendars":{"vikram_samvat":-3079,"saka_samvat":-3214,"bengali_samvat":-3729,"malayalam_era":-3960,"nanakshahi_year":-4605,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla 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 Śukla Caturthī · Vikram -3079 undefined · Śaka -3214 undefined"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":"indore"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 20, 3137 BCE · Indore, Madhya Pradesh · Vidhyamitra","description":"January 20, 3137 BCE for Indore, Madhya Pradesh: Śukla Caturthī, sūryodaya 07:13, sūryāsta 18:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/indore/-3136-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/indore/-3136-01-20","sa":"https://sa.vidhyamitra.com/city/indore/-3136-01-20","hi":"https://hi.vidhyamitra.com/city/indore/-3136-01-20","x-default":"https://vidhyamitra.com/city/indore/-3136-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T20:59:24.694Z","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":"2026-05-31T20:59:24.694Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T20:59:24.694Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}