{"id":"vidhyamitra:city-day:mathura:2075-01-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2075-01-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-01-09","date_display":"January 9, 2075 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":2075,"month":1,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478946.770833,"kali_year":5176,"ahargana":1890481.2708,"sun":{"sidereal_longitude":263.6327,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":163.1111,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":259.4784,"elapsed_within_tithi_degrees":7.4784},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":163.1111,"elapsed_within_degrees":3.1111},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":66.7438},"karana":{"half_tithi_index":43,"name":"Bava"},"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":2075,"month":1,"day":9,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2478946.770833,"ahargana":1890481.2708,"kali_year":5176,"ayanamsa_lahiri":24.901,"grahas":{"sun":{"sidereal_longitude":263.9795610000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":160.35026100000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false,"latitude":4.2256},"mars":{"sidereal_longitude":276.14366100000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":278.769861,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":138.091861,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":217.13286100000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":228.272061,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":93.2046,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":273.2046,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":"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":2075,"month":1,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478946.770833,"kali_year":5176,"ahargana":1890481.2708,"sun":{"sidereal_longitude":263.6327,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":163.1111,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":259.4784,"elapsed_within_tithi_degrees":7.4784},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":163.1111,"elapsed_within_degrees":3.1111},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":66.7438},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.226,"elongation":100.522},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.226,"opposition_distance":79.478}},"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":"17:42","solarNoonLocal":"12:26","dayLengthHours":10.510878549884062,"dayLengthDisplay":"10 Hours 30 Mins 39 Secs","nightLengthDisplay":"13 Hours 29 Mins 21 Secs","moonriseLocal":"23:34","moonsetLocal":"11:30","rahuKala":{"name":"Rāhu Kāla","start":"12:26","end":"13:45","startHours":12.440158171972975,"endHours":13.754017990708483,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:30","end":"09:49","startHours":8.498578715766453,"endHours":9.81243853450196,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:08","end":"12:26","startHours":11.126298353237466,"endHours":12.440158171972975,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:59","startHours":9.637257225337226,"endHours":9.987619843666694,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.6226721699427795,"endHours":7.902962264606354,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:47","startHours":12.089795553643507,"endHours":12.790520790302443,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.783268423713069,"endHours":6.483993660372007,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:11","startHours":6.308812351207272,"endHours":7.184718897030944,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"14:54","startHours":14.191971263620319,"endHours":14.892696500279257,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:30","end":"17:54","startHours":17.495597446915006,"endHours":17.895597446915005,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:42","end":"18:08","startHours":17.695597446915006,"endHours":18.133550719826843,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:27","end":"19:12","startHours":17.445597446915006,"endHours":19.195597446915006,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:47","startHours":24.089795553643505,"endHours":24.790520790302445,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:11","end":"08:30","startHours":7.184718897030944,"endHours":8.498578715766453,"quality":"auspicious"},{"name":"Amṛta","start":"08:30","end":"09:49","startHours":8.498578715766453,"endHours":9.81243853450196,"quality":"auspicious"},{"name":"Kāla","start":"09:49","end":"11:08","startHours":9.81243853450196,"endHours":11.126298353237466,"quality":"inauspicious"},{"name":"Śubha","start":"11:08","end":"12:26","startHours":11.126298353237466,"endHours":12.440158171972975,"quality":"auspicious"},{"name":"Roga","start":"12:26","end":"13:45","startHours":12.440158171972975,"endHours":13.754017990708483,"quality":"inauspicious"},{"name":"Udveg","start":"13:45","end":"15:04","startHours":13.754017990708483,"endHours":15.06787780944399,"quality":"inauspicious"},{"name":"Chala","start":"15:04","end":"16:23","startHours":15.06787780944399,"endHours":16.381737628179497,"quality":"neutral"},{"name":"Labha","start":"16:23","end":"17:42","startHours":16.381737628179497,"endHours":17.695597446915006,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:42","end":"19:23","startHours":17.695597446915006,"endHours":19.381737628179497,"quality":"inauspicious"},{"name":"Chala","start":"19:23","end":"21:04","startHours":19.381737628179497,"endHours":21.067877809443992,"quality":"neutral"},{"name":"Labha","start":"21:04","end":"22:45","startHours":21.067877809443992,"endHours":22.754017990708483,"quality":"auspicious"},{"name":"Amṛta","start":"22:45","end":"00:26","startHours":22.754017990708483,"endHours":24.440158171972975,"quality":"auspicious"},{"name":"Kāla","start":"00:26","end":"02:08","startHours":24.440158171972975,"endHours":26.126298353237466,"quality":"inauspicious"},{"name":"Śubha","start":"02:08","end":"03:49","startHours":26.126298353237466,"endHours":27.812438534501958,"quality":"auspicious"},{"name":"Roga","start":"03:49","end":"05:30","startHours":27.812438534501958,"endHours":29.498578715766453,"quality":"inauspicious"},{"name":"Udveg","start":"05:30","end":"07:11","startHours":29.498578715766453,"endHours":31.184718897030944,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.184718897030944,"endHours":8.184718897030944,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.184718897030944,"endHours":9.184718897030944,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.184718897030944,"endHours":10.184718897030944,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.184718897030944,"endHours":11.184718897030944,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.184718897030944,"endHours":12.184718897030944,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.184718897030944,"endHours":13.184718897030944,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.184718897030944,"endHours":14.184718897030944,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.184718897030944,"endHours":15.184718897030944,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.184718897030944,"endHours":16.184718897030944,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.184718897030944,"endHours":17.184718897030944,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.184718897030944,"endHours":18.184718897030944,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.184718897030944,"endHours":19.184718897030944,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.184718897030944,"endHours":20.184718897030944,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.184718897030944,"endHours":21.184718897030944,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.184718897030944,"endHours":22.184718897030944,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.184718897030944,"endHours":23.184718897030944,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.184718897030944,"endHours":24.184718897030944,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.184718897030944,"endHours":25.184718897030944,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.184718897030944,"endHours":26.184718897030944,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.184718897030944,"endHours":27.184718897030944,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.184718897030944,"endHours":28.184718897030944,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.184718897030944,"endHours":29.184718897030944,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.184718897030944,"endHours":30.184718897030944,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.184718897030944,"endHours":31.184718897030944,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"South-West","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"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":-22.10669629325117,"eotMinutes":-7.10429031837854,"ayanamsa":24.901}},"calendars":{"vikram_samvat":2132,"vikram_samvatsara":"Kīlaka","saka_samvat":1997,"saka_samvatsara":"Manmatha","bengali_samvat":1482,"malayalam_era":1251,"nanakshahi_year":606,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Saptamī · Vikram 2132 Kīlaka · Śaka 1997 Manmatha"},"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":"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":"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 9, 2075 CE · Mathurā · Vidhyamitra","description":"January 9, 2075 CE for Mathurā: Kṛṣṇa Saptamī, sūryodaya 07:11, sūryāsta 17:42.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2075-01-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2075-01-09","sa":"https://sa.vidhyamitra.com/city/mathura/2075-01-09","hi":"https://hi.vidhyamitra.com/city/mathura/2075-01-09","x-default":"https://vidhyamitra.com/city/mathura/2075-01-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T20:38:23.666Z","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":"2026-05-14T20:38:23.666Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T20:38:23.666Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}