{"id":"vidhyamitra:city-day:mathura:2032-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2032-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2032-01-13","date_display":"January 13, 2032 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":"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":2032,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463244.770833,"kali_year":5133,"ahargana":1874779.2708,"sun":{"sidereal_longitude":267.8732,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":269.8244,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":1.9512,"elapsed_within_tithi_degrees":1.9512},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":269.8244,"elapsed_within_degrees":3.1577},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":177.6975},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"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":2032,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463244.770833,"ahargana":1874779.2708,"kali_year":5133,"ayanamsa_lahiri":24.3005,"grahas":{"sun":{"sidereal_longitude":268.08399299999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":271.048493,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":4.066},"mars":{"sidereal_longitude":316.330693,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":255.30679299999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":258.746993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":233.146793,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":52.62049300000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":205.1722,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":25.1722,"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":"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":2032,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463244.770833,"kali_year":5133,"ahargana":1874779.2708,"sun":{"sidereal_longitude":267.8732,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":269.8244,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":1.9512,"elapsed_within_tithi_degrees":1.9512},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":269.8244,"elapsed_within_degrees":3.1577},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":177.6975},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.066,"elongation":1.951},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.066,"opposition_distance":178.049}},"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":"17:45","solarNoonLocal":"12:28","dayLengthHours":10.553769671942078,"dayLengthDisplay":"10 Hours 33 Mins 14 Secs","nightLengthDisplay":"13 Hours 26 Mins 46 Secs","moonriseLocal":"07:23","moonsetLocal":"17:56","rahuKala":{"name":"Rāhu Kāla","start":"15:06","end":"16:25","startHours":15.104127942841746,"endHours":16.423349151834508,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:50","end":"11:09","startHours":9.827243106870707,"endHours":11.146464315863469,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:28","end":"13:47","startHours":12.465685524856227,"endHours":13.784906733848988,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.651346945671673,"endHours":10.003139268069743,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.628541091882775,"endHours":7.909974949801231,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.113893202458158,"endHours":12.817477847254295,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.781631399292912,"endHours":6.48521604408905,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:11","startHours":6.309319882890016,"endHours":7.1888006888851885,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:56","startHours":14.224647136846574,"endHours":14.928231781642713,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:33","end":"17:57","startHours":17.542570360827266,"endHours":17.942570360827265,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:45","end":"18:11","startHours":17.742570360827266,"endHours":18.18231076382485,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:30","end":"19:15","startHours":17.492570360827266,"endHours":19.242570360827266,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.113893202458158,"endHours":24.817477847254295,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:11","end":"08:30","startHours":7.1888006888851885,"endHours":8.50802189787795,"quality":"inauspicious"},{"name":"Udveg","start":"08:30","end":"09:50","startHours":8.50802189787795,"endHours":9.827243106870707,"quality":"inauspicious"},{"name":"Chala","start":"09:50","end":"11:09","startHours":9.827243106870707,"endHours":11.146464315863469,"quality":"neutral"},{"name":"Labha","start":"11:09","end":"12:28","startHours":11.146464315863469,"endHours":12.465685524856227,"quality":"auspicious"},{"name":"Amṛta","start":"12:28","end":"13:47","startHours":12.465685524856227,"endHours":13.784906733848988,"quality":"auspicious"},{"name":"Kāla","start":"13:47","end":"15:06","startHours":13.784906733848988,"endHours":15.104127942841746,"quality":"inauspicious"},{"name":"Śubha","start":"15:06","end":"16:25","startHours":15.104127942841746,"endHours":16.423349151834508,"quality":"auspicious"},{"name":"Roga","start":"16:25","end":"17:45","startHours":16.423349151834508,"endHours":17.742570360827266,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:45","end":"19:25","startHours":17.742570360827266,"endHours":19.423349151834508,"quality":"inauspicious"},{"name":"Śubha","start":"19:25","end":"21:06","startHours":19.423349151834508,"endHours":21.104127942841746,"quality":"auspicious"},{"name":"Roga","start":"21:06","end":"22:47","startHours":21.104127942841746,"endHours":22.784906733848985,"quality":"inauspicious"},{"name":"Udveg","start":"22:47","end":"00:28","startHours":22.784906733848985,"endHours":24.465685524856227,"quality":"inauspicious"},{"name":"Chala","start":"00:28","end":"02:09","startHours":24.465685524856227,"endHours":26.14646431586347,"quality":"neutral"},{"name":"Labha","start":"02:09","end":"03:50","startHours":26.14646431586347,"endHours":27.827243106870707,"quality":"auspicious"},{"name":"Amṛta","start":"03:50","end":"05:30","startHours":27.827243106870707,"endHours":29.508021897877946,"quality":"auspicious"},{"name":"Kāla","start":"05:30","end":"07:11","startHours":29.508021897877946,"endHours":31.188800688885188,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.1888006888851885,"endHours":8.188800688885188,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.188800688885188,"endHours":9.188800688885188,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.188800688885188,"endHours":10.188800688885188,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.188800688885188,"endHours":11.188800688885188,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.188800688885188,"endHours":12.188800688885188,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.188800688885188,"endHours":13.188800688885188,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.188800688885188,"endHours":14.188800688885188,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.188800688885188,"endHours":15.188800688885188,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.188800688885188,"endHours":16.188800688885188,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.188800688885188,"endHours":17.188800688885188,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.188800688885188,"endHours":18.188800688885188,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.188800688885188,"endHours":19.188800688885188,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.188800688885188,"endHours":20.188800688885188,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.188800688885188,"endHours":21.188800688885188,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.188800688885188,"endHours":22.188800688885188,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.188800688885188,"endHours":23.188800688885188,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.188800688885188,"endHours":24.188800688885188,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.188800688885188,"endHours":25.188800688885188,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.188800688885188,"endHours":26.188800688885188,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.188800688885188,"endHours":27.188800688885188,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.188800688885188,"endHours":28.188800688885188,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.188800688885188,"endHours":29.188800688885188,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.188800688885188,"endHours":30.188800688885188,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.188800688885188,"endHours":31.188800688885188,"planetary_lord":"Saturn"}],"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-21.577720240793624,"eotMinutes":-8.635931491373626,"ayanamsa":24.3005}},"calendars":{"vikram_samvat":2089,"vikram_samvatsara":"Krodhana","saka_samvat":1954,"saka_samvatsara":"Paridhāvi","bengali_samvat":1439,"malayalam_era":1208,"nanakshahi_year":563,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Pratipada · Vikram 2089 Krodhana · Śaka 1954 Paridhāvi"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"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":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 13, 2032 CE · Mathurā · Vidhyamitra","description":"January 13, 2032 CE for Mathurā: Śukla Pratipada, sūryodaya 07:11, sūryāsta 17:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2032-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2032-01-13","sa":"https://sa.vidhyamitra.com/city/mathura/2032-01-13","hi":"https://hi.vidhyamitra.com/city/mathura/2032-01-13","x-default":"https://vidhyamitra.com/city/mathura/2032-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:34:56.655Z","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":"2026-05-14T18:34:56.655Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T18:34:56.655Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}