{"id":"vidhyamitra:city-day:mathura:2050-01-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2050-01-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-01-29","date_display":"January 29, 2050 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":2050,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469835.770833,"kali_year":5151,"ahargana":1881370.2708,"sun":{"sidereal_longitude":284.6324,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":0.8825,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":76.2501,"elapsed_within_tithi_degrees":4.2501},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":0.8825,"elapsed_within_degrees":0.8825},"yoga":{"number":22,"name":"Sādhya","sum_longitude":285.5149},"karana":{"half_tithi_index":12,"name":"Gara"},"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":2050,"month":1,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469835.770833,"ahargana":1881370.2708,"kali_year":5151,"ayanamsa_lahiri":24.5526,"grahas":{"sun":{"sidereal_longitude":284.75636800000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":4.500567999999987,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false,"latitude":2.5836},"mars":{"sidereal_longitude":220.20526799999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":262.344568,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":92.83426800000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":true},"venus":{"sidereal_longitude":291.2650679999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":275.623368,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":215.9493,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":35.9493,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"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":2050,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469835.770833,"kali_year":5151,"ahargana":1881370.2708,"sun":{"sidereal_longitude":284.6324,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":0.8825,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":76.2501,"elapsed_within_tithi_degrees":4.2501},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":0.8825,"elapsed_within_degrees":0.8825},"yoga":{"number":22,"name":"Sādhya","sum_longitude":285.5149},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.584,"elongation":76.25},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.584,"opposition_distance":103.75}},"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":"17:58","solarNoonLocal":"12:32","dayLengthHours":10.84130378291136,"dayLengthDisplay":"10 Hours 50 Mins 29 Secs","nightLengthDisplay":"13 Hours 09 Mins 31 Secs","moonriseLocal":"11:25","moonsetLocal":"00:18","rahuKala":{"name":"Rāhu Kāla","start":"09:50","end":"11:11","startHours":9.830962753817396,"endHours":11.186125726681317,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:54","end":"15:15","startHours":13.896451672409157,"endHours":15.251614645273076,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:07","end":"08:29","startHours":7.120636808089556,"endHours":8.475799780953476,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.65027435743554,"endHours":10.011651150199253,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:52","startHours":7.572357799044196,"endHours":7.861459233255166,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"12:54","startHours":12.179911906781525,"endHours":12.90266549230895,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:41","end":"06:24","startHours":5.675129637034708,"endHours":6.3978832225621325,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:07","startHours":6.217194826180276,"endHours":7.120636808089556,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:04","startHours":14.348172663363798,"endHours":15.070926248891222,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:46","end":"18:10","startHours":17.76194059100092,"endHours":18.161940591000917,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:58","end":"18:25","startHours":17.961940591000918,"endHours":18.41366158195556,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:43","end":"19:28","startHours":17.711940591000918,"endHours":19.461940591000918,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"00:54","startHours":24.179911906781527,"endHours":24.902665492308948,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:07","end":"08:29","startHours":7.120636808089556,"endHours":8.475799780953476,"quality":"inauspicious"},{"name":"Śubha","start":"08:29","end":"09:50","startHours":8.475799780953476,"endHours":9.830962753817396,"quality":"auspicious"},{"name":"Roga","start":"09:50","end":"11:11","startHours":9.830962753817396,"endHours":11.186125726681317,"quality":"inauspicious"},{"name":"Udveg","start":"11:11","end":"12:32","startHours":11.186125726681317,"endHours":12.541288699545238,"quality":"inauspicious"},{"name":"Chala","start":"12:32","end":"13:54","startHours":12.541288699545238,"endHours":13.896451672409157,"quality":"neutral"},{"name":"Labha","start":"13:54","end":"15:15","startHours":13.896451672409157,"endHours":15.251614645273076,"quality":"auspicious"},{"name":"Amṛta","start":"15:15","end":"16:36","startHours":15.251614645273076,"endHours":16.606777618137,"quality":"auspicious"},{"name":"Kāla","start":"16:36","end":"17:58","startHours":16.606777618137,"endHours":17.961940591000918,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:58","end":"19:36","startHours":17.961940591000918,"endHours":19.606777618137,"quality":"auspicious"},{"name":"Amṛta","start":"19:36","end":"21:15","startHours":19.606777618137,"endHours":21.25161464527308,"quality":"auspicious"},{"name":"Kāla","start":"21:15","end":"22:54","startHours":21.25161464527308,"endHours":22.896451672409157,"quality":"inauspicious"},{"name":"Śubha","start":"22:54","end":"00:32","startHours":22.896451672409157,"endHours":24.541288699545238,"quality":"auspicious"},{"name":"Roga","start":"00:32","end":"02:11","startHours":24.541288699545238,"endHours":26.18612572668132,"quality":"inauspicious"},{"name":"Udveg","start":"02:11","end":"03:50","startHours":26.18612572668132,"endHours":27.830962753817396,"quality":"inauspicious"},{"name":"Chala","start":"03:50","end":"05:29","startHours":27.830962753817396,"endHours":29.475799780953476,"quality":"neutral"},{"name":"Labha","start":"05:29","end":"07:07","startHours":29.475799780953476,"endHours":31.120636808089557,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.120636808089556,"endHours":8.120636808089557,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.120636808089557,"endHours":9.120636808089557,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.120636808089557,"endHours":10.120636808089557,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.120636808089557,"endHours":11.120636808089557,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.120636808089557,"endHours":12.120636808089557,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.120636808089557,"endHours":13.120636808089557,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.120636808089557,"endHours":14.120636808089557,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.120636808089557,"endHours":15.120636808089557,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.120636808089557,"endHours":16.120636808089557,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.120636808089557,"endHours":17.120636808089557,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.120636808089557,"endHours":18.120636808089557,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.120636808089557,"endHours":19.120636808089557,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.120636808089557,"endHours":20.120636808089557,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.120636808089557,"endHours":21.120636808089557,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.120636808089557,"endHours":22.120636808089557,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.120636808089557,"endHours":23.120636808089557,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.120636808089557,"endHours":24.120636808089557,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.120636808089557,"endHours":25.120636808089557,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.120636808089557,"endHours":26.120636808089557,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.120636808089557,"endHours":27.120636808089557,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.120636808089557,"endHours":28.120636808089557,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.120636808089557,"endHours":29.120636808089557,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.120636808089557,"endHours":30.120636808089557,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.120636808089557,"endHours":31.120636808089557,"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Rākṣasa","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":-17.923201712426614,"eotMinutes":-13.172121972714217,"ayanamsa":24.5526}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"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 Saptamī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[],"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":"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 29, 2050 CE · Mathurā · Vidhyamitra","description":"January 29, 2050 CE for Mathurā: Śukla Saptamī, sūryodaya 07:07, sūryāsta 17:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2050-01-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2050-01-29","sa":"https://sa.vidhyamitra.com/city/mathura/2050-01-29","hi":"https://hi.vidhyamitra.com/city/mathura/2050-01-29","x-default":"https://vidhyamitra.com/city/mathura/2050-01-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-12T02:05:21.135Z","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":"2026-09-12T02:05:21.135Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-12T02:05:21.135Z","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"}}}