{"id":"vidhyamitra:city-day:mathura:1847-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1847-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1847-01-20","date_display":"January 20, 1847 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":1847,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395681.770833,"kali_year":4948,"ahargana":1807216.2708,"sun":{"sidereal_longitude":278.0034,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":316.9273,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.9239,"elapsed_within_tithi_degrees":2.9239},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":316.9273,"elapsed_within_degrees":10.2607},"yoga":{"number":18,"name":"Varīyān","sum_longitude":234.9307},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1847,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2395681.770833,"ahargana":1807216.2708,"kali_year":4948,"ayanamsa_lahiri":21.7164,"grahas":{"sun":{"sidereal_longitude":277.703396,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":319.588696,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":3.3456},"mars":{"sidereal_longitude":235.330696,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":262.63349600000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":47.07829600000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":288.192096,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":309.588296,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":184.985,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":4.985,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"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":1847,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395681.770833,"kali_year":4948,"ahargana":1807216.2708,"sun":{"sidereal_longitude":278.0034,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":316.9273,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.9239,"elapsed_within_tithi_degrees":2.9239},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":316.9273,"elapsed_within_degrees":10.2607},"yoga":{"number":18,"name":"Varīyān","sum_longitude":234.9307},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.346,"elongation":38.924},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.346,"opposition_distance":141.076}},"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":"07:11","sunsetLocal":"17:50","solarNoonLocal":"12:30","dayLengthHours":10.658355342656677,"dayLengthDisplay":"10 Hours 39 Mins 30 Secs","nightLengthDisplay":"13 Hours 20 Mins 30 Secs","moonriseLocal":"09:30","moonsetLocal":"21:05","rahuKala":{"name":"Rāhu Kāla","start":"12:30","end":"13:50","startHours":12.504491722287156,"endHours":13.83678614011924,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:30","end":"09:50","startHours":8.507608468790902,"endHours":9.839902886622987,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:10","end":"12:30","startHours":11.172197304455072,"endHours":12.504491722287156,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.662263630912044,"endHours":10.017542142333932,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.61941219023618,"endHours":7.903634999373692,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:52","startHours":12.149213210865266,"endHours":12.859770233709046,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:28","startHours":5.754200005271262,"endHours":6.464757028115041,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:11","startHours":6.287117772404096,"endHours":7.175314050958819,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"14:59","startHours":14.280884279396602,"endHours":14.99144130224038,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.633669393615495,"endHours":18.033669393615494,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:17","startHours":17.833669393615494,"endHours":18.277767532892856,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.583669393615494,"endHours":19.333669393615494,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:52","startHours":24.149213210865266,"endHours":24.859770233709046,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:11","end":"08:30","startHours":7.175314050958819,"endHours":8.507608468790902,"quality":"auspicious"},{"name":"Amṛta","start":"08:30","end":"09:50","startHours":8.507608468790902,"endHours":9.839902886622987,"quality":"auspicious"},{"name":"Kāla","start":"09:50","end":"11:10","startHours":9.839902886622987,"endHours":11.172197304455072,"quality":"inauspicious"},{"name":"Śubha","start":"11:10","end":"12:30","startHours":11.172197304455072,"endHours":12.504491722287156,"quality":"auspicious"},{"name":"Roga","start":"12:30","end":"13:50","startHours":12.504491722287156,"endHours":13.83678614011924,"quality":"inauspicious"},{"name":"Udveg","start":"13:50","end":"15:10","startHours":13.83678614011924,"endHours":15.169080557951325,"quality":"inauspicious"},{"name":"Chala","start":"15:10","end":"16:30","startHours":15.169080557951325,"endHours":16.50137497578341,"quality":"neutral"},{"name":"Labha","start":"16:30","end":"17:50","startHours":16.50137497578341,"endHours":17.833669393615494,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:50","end":"19:30","startHours":17.833669393615494,"endHours":19.50137497578341,"quality":"inauspicious"},{"name":"Chala","start":"19:30","end":"21:10","startHours":19.50137497578341,"endHours":21.169080557951325,"quality":"neutral"},{"name":"Labha","start":"21:10","end":"22:50","startHours":21.169080557951325,"endHours":22.83678614011924,"quality":"auspicious"},{"name":"Amṛta","start":"22:50","end":"00:30","startHours":22.83678614011924,"endHours":24.504491722287156,"quality":"auspicious"},{"name":"Kāla","start":"00:30","end":"02:10","startHours":24.504491722287156,"endHours":26.17219730445507,"quality":"inauspicious"},{"name":"Śubha","start":"02:10","end":"03:50","startHours":26.17219730445507,"endHours":27.839902886622987,"quality":"auspicious"},{"name":"Roga","start":"03:50","end":"05:30","startHours":27.839902886622987,"endHours":29.507608468790902,"quality":"inauspicious"},{"name":"Udveg","start":"05:30","end":"07:11","startHours":29.507608468790902,"endHours":31.175314050958818,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.175314050958819,"endHours":8.175314050958818,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.175314050958818,"endHours":9.175314050958818,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.175314050958818,"endHours":10.175314050958818,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.175314050958818,"endHours":11.175314050958818,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.175314050958818,"endHours":12.175314050958818,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.175314050958818,"endHours":13.175314050958818,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.175314050958818,"endHours":14.175314050958818,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.175314050958818,"endHours":15.175314050958818,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.175314050958818,"endHours":16.175314050958818,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.175314050958818,"endHours":17.175314050958818,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.175314050958818,"endHours":18.175314050958818,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.175314050958818,"endHours":19.175314050958818,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.175314050958818,"endHours":20.175314050958818,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.175314050958818,"endHours":21.175314050958818,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.175314050958818,"endHours":22.175314050958818,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.175314050958818,"endHours":23.175314050958818,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.175314050958818,"endHours":24.175314050958818,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.175314050958818,"endHours":25.175314050958818,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.175314050958818,"endHours":26.175314050958818,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.175314050958818,"endHours":27.175314050958818,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.175314050958818,"endHours":28.175314050958818,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.175314050958818,"endHours":29.175314050958818,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.175314050958818,"endHours":30.175314050958818,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.175314050958818,"endHours":31.175314050958818,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"South-West","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.26987825381433,"eotMinutes":-10.9643033372293,"ayanamsa":21.7164}},"calendars":{"vikram_samvat":1904,"vikram_samvatsara":"Raudra","saka_samvat":1769,"saka_samvatsara":"Plavaṅga","bengali_samvat":1254,"malayalam_era":1023,"nanakshahi_year":378,"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 Caturthī · Vikram 1904 Raudra · Śaka 1769 Plavaṅga"},"festivals":[{"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Dedicated festival walk for Vināyaka Caturthī (monthly) is not live yet; Budhavāra (Wednesday) — 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 20, 1847 CE · Mathurā · Vidhyamitra","description":"January 20, 1847 CE for Mathurā: Śukla Caturthī, sūryodaya 07:11, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1847-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1847-01-20","sa":"https://sa.vidhyamitra.com/city/mathura/1847-01-20","hi":"https://hi.vidhyamitra.com/city/mathura/1847-01-20","x-default":"https://vidhyamitra.com/city/mathura/1847-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T12:17:27.111Z","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":"2026-08-10T12:17:27.112Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T12:17:27.112Z","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"}}}