{"id":"vidhyamitra:city-day:mathura:1846-01-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1846-01-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1846-01-31","date_display":"January 31, 1846 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":1846,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395327.770833,"kali_year":4947,"ahargana":1806862.2708,"sun":{"sidereal_longitude":289.5249,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":337.7459,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":48.221,"elapsed_within_tithi_degrees":0.221},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.7459,"elapsed_within_degrees":4.4125},"yoga":{"number":21,"name":"Siddha","sum_longitude":267.2707},"karana":{"half_tithi_index":8,"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":1846,"month":1,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2395327.770833,"ahargana":1806862.2708,"kali_year":4947,"ayanamsa_lahiri":21.7029,"grahas":{"sun":{"sidereal_longitude":289.142522,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"moon":{"sidereal_longitude":339.850822,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":3.2352},"mars":{"sidereal_longitude":5.722921999999983,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":269.70342200000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":13.368222000000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":328.626722,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":300.40302199999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":203.7417,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":23.7417,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":1846,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395327.770833,"kali_year":4947,"ahargana":1806862.2708,"sun":{"sidereal_longitude":289.5249,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":337.7459,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":48.221,"elapsed_within_tithi_degrees":0.221},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.7459,"elapsed_within_degrees":4.4125},"yoga":{"number":21,"name":"Siddha","sum_longitude":267.2707},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.235,"elongation":48.221},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.235,"opposition_distance":131.779}},"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":"07:07","sunsetLocal":"17:59","solarNoonLocal":"12:33","dayLengthHours":10.872936850024203,"dayLengthDisplay":"10 Hours 52 Mins 23 Secs","nightLengthDisplay":"13 Hours 07 Mins 37 Secs","moonriseLocal":"09:52","moonsetLocal":"22:00","rahuKala":{"name":"Rāhu Kāla","start":"09:50","end":"11:11","startHours":9.829012263191316,"endHours":11.188129369444344,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:54","end":"15:16","startHours":13.906363581950394,"endHours":15.265480688203418,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:07","end":"08:28","startHours":7.1107780506852665,"endHours":8.469895156938293,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.647796649024247,"endHours":10.010227877358387,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:51","startHours":7.563817086102942,"endHours":7.853762068770254,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"12:55","startHours":12.184815247363227,"endHours":12.909677704031507,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:40","end":"06:23","startHours":5.661053137348706,"endHours":6.3859155940169865,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:12","end":"07:07","startHours":6.2046999798499165,"endHours":7.1107780506852665,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:05","startHours":14.359402617368069,"endHours":15.084265074036349,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:47","end":"18:11","startHours":17.78371490070947,"endHours":18.183714900709468,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:59","end":"18:26","startHours":17.98371490070947,"endHours":18.436753936127143,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:44","end":"19:29","startHours":17.73371490070947,"endHours":19.48371490070947,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"00:55","startHours":24.184815247363225,"endHours":24.90967770403151,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:07","end":"08:28","startHours":7.1107780506852665,"endHours":8.469895156938293,"quality":"inauspicious"},{"name":"Śubha","start":"08:28","end":"09:50","startHours":8.469895156938293,"endHours":9.829012263191316,"quality":"auspicious"},{"name":"Roga","start":"09:50","end":"11:11","startHours":9.829012263191316,"endHours":11.188129369444344,"quality":"inauspicious"},{"name":"Udveg","start":"11:11","end":"12:33","startHours":11.188129369444344,"endHours":12.547246475697367,"quality":"inauspicious"},{"name":"Chala","start":"12:33","end":"13:54","startHours":12.547246475697367,"endHours":13.906363581950394,"quality":"neutral"},{"name":"Labha","start":"13:54","end":"15:16","startHours":13.906363581950394,"endHours":15.265480688203418,"quality":"auspicious"},{"name":"Amṛta","start":"15:16","end":"16:37","startHours":15.265480688203418,"endHours":16.624597794456445,"quality":"auspicious"},{"name":"Kāla","start":"16:37","end":"17:59","startHours":16.624597794456445,"endHours":17.98371490070947,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:59","end":"19:37","startHours":17.98371490070947,"endHours":19.62459779445644,"quality":"auspicious"},{"name":"Amṛta","start":"19:37","end":"21:16","startHours":19.62459779445644,"endHours":21.265480688203418,"quality":"auspicious"},{"name":"Kāla","start":"21:16","end":"22:54","startHours":21.265480688203418,"endHours":22.906363581950394,"quality":"inauspicious"},{"name":"Śubha","start":"22:54","end":"00:33","startHours":22.906363581950394,"endHours":24.547246475697367,"quality":"auspicious"},{"name":"Roga","start":"00:33","end":"02:11","startHours":24.547246475697367,"endHours":26.18812936944434,"quality":"inauspicious"},{"name":"Udveg","start":"02:11","end":"03:50","startHours":26.18812936944434,"endHours":27.829012263191316,"quality":"inauspicious"},{"name":"Chala","start":"03:50","end":"05:28","startHours":27.829012263191316,"endHours":29.469895156938293,"quality":"neutral"},{"name":"Labha","start":"05:28","end":"07:07","startHours":29.469895156938293,"endHours":31.110778050685266,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.1107780506852665,"endHours":8.110778050685266,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.110778050685266,"endHours":9.110778050685266,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.110778050685266,"endHours":10.110778050685266,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.110778050685266,"endHours":11.110778050685266,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.110778050685266,"endHours":12.110778050685266,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.110778050685266,"endHours":13.110778050685266,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.110778050685266,"endHours":14.110778050685266,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.110778050685266,"endHours":15.110778050685266,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.110778050685266,"endHours":16.110778050685266,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.110778050685266,"endHours":17.110778050685266,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.110778050685266,"endHours":18.110778050685266,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.110778050685266,"endHours":19.110778050685266,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.110778050685266,"endHours":20.110778050685266,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.110778050685266,"endHours":21.110778050685266,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.110778050685266,"endHours":22.110778050685266,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.110778050685266,"endHours":23.110778050685266,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.110778050685266,"endHours":24.110778050685266,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.110778050685266,"endHours":25.110778050685266,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.110778050685266,"endHours":26.110778050685266,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.110778050685266,"endHours":27.110778050685266,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.110778050685266,"endHours":28.110778050685266,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.110778050685266,"endHours":29.110778050685266,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.110778050685266,"endHours":30.110778050685266,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.110778050685266,"endHours":31.110778050685266,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-17.51018825753499,"eotMinutes":-13.52958854184206,"ayanamsa":21.7029}},"calendars":{"vikram_samvat":1903,"vikram_samvatsara":"Siddhārthī","saka_samvat":1768,"saka_samvatsara":"Parābhava","bengali_samvat":1253,"malayalam_era":1022,"nanakshahi_year":377,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Pañcamī · Vikram 1903 Siddhārthī · Śaka 1768 Parābhava"},"festivals":[{"id":"sarasvati-jayanti","name":"Sarasvatī Jayantī (Vasanta Pañchamī)","name_sanskrit":"सरस्वती जयन्ती / वसन्त पञ्चमी","tradition":"Pan-Hindu","associated_deity":"Sarasvatī (Vāk-tattva)","significance":"Manifestation of Devī Sarasvatī; vidyā-ārambha day; vasanta-ṛtu begins.","vrata":true,"detection":{"tithi_number":5,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":2,"sources":["Skanda Purāṇa","Devī Bhāgavata"]}],"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 Sarasvatī Jayantī (Vasanta Pañchamī) is not live yet; Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"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 31, 1846 CE · Mathurā · Vidhyamitra","description":"January 31, 1846 CE for Mathurā: Śukla Pañcamī, sūryodaya 07:07, sūryāsta 17:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1846-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1846-01-31","sa":"https://sa.vidhyamitra.com/city/mathura/1846-01-31","hi":"https://hi.vidhyamitra.com/city/mathura/1846-01-31","x-default":"https://vidhyamitra.com/city/mathura/1846-01-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T12:34:16.765Z","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":"2026-08-10T12:34:16.765Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T12:34:16.765Z","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"}}}