{"id":"vidhyamitra:city-day:trimbakeshwar:2001-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/trimbakeshwar/2001-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2001-01-13","date_display":"January 13, 2001 CE","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":2001,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451922.770833,"kali_year":5102,"ahargana":1863457.2708,"sun":{"sidereal_longitude":268.9225,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":130.939,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":222.0166,"elapsed_within_tithi_degrees":6.0166},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":130.939,"elapsed_within_degrees":10.939},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":39.8615},"karana":{"half_tithi_index":37,"name":"Bālava"},"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":2001,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2451922.770833,"ahargana":1863457.2708,"kali_year":5102,"ayanamsa_lahiri":23.8674,"grahas":{"sun":{"sidereal_longitude":269.052277,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":133.99917700000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false,"latitude":3.2285},"mars":{"sidereal_longitude":198.017377,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":280.3082770000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":37.548677,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":316.06297700000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":30.232477000000017,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":85.0662,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":265.0662,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":"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":2001,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451922.770833,"kali_year":5102,"ahargana":1863457.2708,"sun":{"sidereal_longitude":268.9225,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":130.939,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":222.0166,"elapsed_within_tithi_degrees":6.0166},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":130.939,"elapsed_within_degrees":10.939},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":39.8615},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.228,"elongation":137.983},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.228,"opposition_distance":42.017}},"eclipse_window_40days":[{"offset_days":-3,"type":"lunar","occurs":true,"moon_latitude":0.182,"opposition_distance":1.705}]},"city":{"slug":"trimbakeshwar","name":"Trimbakeśvar","lat":19.9362,"lon":73.5331,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"trimbakeshwar","name":"Trimbakeśvar","lat":19.9362,"lon":73.5331,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tirtha"},"sunriseLocal":"07:13","sunsetLocal":"18:16","solarNoonLocal":"12:45","dayLengthHours":11.03348851281051,"dayLengthDisplay":"11 Hours 02 Mins 01 Secs","nightLengthDisplay":"12 Hours 57 Mins 59 Secs","moonriseLocal":"21:29","moonsetLocal":"09:59","rahuKala":{"name":"Rāhu Kāla","start":"09:59","end":"11:22","startHours":9.983353396653598,"endHours":11.362539460754913,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:07","end":"15:30","startHours":14.12091158895754,"endHours":15.500097653058855,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:13","end":"08:36","startHours":7.224981268450971,"endHours":8.604167332552285,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:48","end":"10:10","startHours":9.799461921440091,"endHours":10.167244871867108,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:41","end":"07:59","startHours":7.684709956484743,"endHours":7.978936316826356,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:22","end":"13:07","startHours":12.37394257442921,"endHours":13.109508475283244,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:29","startHours":5.753849466742903,"endHours":6.489415367596937,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:13","startHours":6.3055238923834285,"endHours":7.224981268450971,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:35","end":"15:19","startHours":14.580640276991312,"endHours":15.316206177845347,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:04","end":"18:28","startHours":18.058469781261483,"endHours":18.45846978126148,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:16","end":"18:43","startHours":18.258469781261482,"endHours":18.718198469295253,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:01","end":"19:46","startHours":18.008469781261482,"endHours":19.758469781261482,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:22","end":"01:07","startHours":24.37394257442921,"endHours":25.109508475283246,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:13","end":"08:36","startHours":7.224981268450971,"endHours":8.604167332552285,"quality":"inauspicious"},{"name":"Śubha","start":"08:36","end":"09:59","startHours":8.604167332552285,"endHours":9.983353396653598,"quality":"auspicious"},{"name":"Roga","start":"09:59","end":"11:22","startHours":9.983353396653598,"endHours":11.362539460754913,"quality":"inauspicious"},{"name":"Udveg","start":"11:22","end":"12:45","startHours":11.362539460754913,"endHours":12.741725524856227,"quality":"inauspicious"},{"name":"Chala","start":"12:45","end":"14:07","startHours":12.741725524856227,"endHours":14.12091158895754,"quality":"neutral"},{"name":"Labha","start":"14:07","end":"15:30","startHours":14.12091158895754,"endHours":15.500097653058855,"quality":"auspicious"},{"name":"Amṛta","start":"15:30","end":"16:53","startHours":15.500097653058855,"endHours":16.87928371716017,"quality":"auspicious"},{"name":"Kāla","start":"16:53","end":"18:16","startHours":16.87928371716017,"endHours":18.258469781261482,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:16","end":"19:53","startHours":18.258469781261482,"endHours":19.879283717160167,"quality":"auspicious"},{"name":"Amṛta","start":"19:53","end":"21:30","startHours":19.879283717160167,"endHours":21.500097653058855,"quality":"auspicious"},{"name":"Kāla","start":"21:30","end":"23:07","startHours":21.500097653058855,"endHours":23.12091158895754,"quality":"inauspicious"},{"name":"Śubha","start":"23:07","end":"00:45","startHours":23.12091158895754,"endHours":24.74172552485623,"quality":"auspicious"},{"name":"Roga","start":"00:45","end":"02:22","startHours":24.74172552485623,"endHours":26.362539460754913,"quality":"inauspicious"},{"name":"Udveg","start":"02:22","end":"03:59","startHours":26.362539460754913,"endHours":27.983353396653598,"quality":"inauspicious"},{"name":"Chala","start":"03:59","end":"05:36","startHours":27.983353396653598,"endHours":29.604167332552286,"quality":"neutral"},{"name":"Labha","start":"05:36","end":"07:13","startHours":29.604167332552286,"endHours":31.22498126845097,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.224981268450971,"endHours":8.224981268450971,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.224981268450971,"endHours":9.224981268450971,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.224981268450971,"endHours":10.224981268450971,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.224981268450971,"endHours":11.224981268450971,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.224981268450971,"endHours":12.224981268450971,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.224981268450971,"endHours":13.224981268450971,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.224981268450971,"endHours":14.224981268450971,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.224981268450971,"endHours":15.224981268450971,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.224981268450971,"endHours":16.22498126845097,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.22498126845097,"endHours":17.22498126845097,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.22498126845097,"endHours":18.22498126845097,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.22498126845097,"endHours":19.22498126845097,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.22498126845097,"endHours":20.22498126845097,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.22498126845097,"endHours":21.22498126845097,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.22498126845097,"endHours":22.22498126845097,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.22498126845097,"endHours":23.22498126845097,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.22498126845097,"endHours":24.22498126845097,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.22498126845097,"endHours":25.22498126845097,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.22498126845097,"endHours":26.22498126845097,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.22498126845097,"endHours":27.22498126845097,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.22498126845097,"endHours":28.22498126845097,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.22498126845097,"endHours":29.22498126845097,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.22498126845097,"endHours":30.22498126845097,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.22498126845097,"endHours":31.22498126845097,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.489589459779342,"eotMinutes":-8.635931491373626,"ayanamsa":23.8674}},"calendars":{"vikram_samvat":2058,"vikram_samvatsara":"Jaya","saka_samvat":1923,"saka_samvatsara":"Vṛṣa","bengali_samvat":1408,"malayalam_era":1177,"nanakshahi_year":532,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Caturthī · Vikram 2058 Jaya · Śaka 1923 Vṛṣa"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi_eve_of_ingress":"Makara"},"precedence":4},{"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 Lohri · Saṅkaṣṭī Caturthī is not live yet; Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"trimbakeshwar"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 13, 2001 CE · Trimbakeśvar · Vidhyamitra","description":"January 13, 2001 CE for Trimbakeśvar: Kṛṣṇa Caturthī, sūryodaya 07:13, sūryāsta 18:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/trimbakeshwar/2001-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/trimbakeshwar/2001-01-13","sa":"https://sa.vidhyamitra.com/city/trimbakeshwar/2001-01-13","hi":"https://hi.vidhyamitra.com/city/trimbakeshwar/2001-01-13","x-default":"https://vidhyamitra.com/city/trimbakeshwar/2001-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-23T20:46:31.212Z","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":"2026-09-23T20:46:31.212Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-23T20:46:31.212Z","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"}}}