{"id":"vidhyamitra:city-day:mathura:2159-04-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2159-04-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-04-29","date_display":"April 29, 2159 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":2159,"month":4,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509736.770833,"kali_year":5261,"ahargana":1921271.2708,"sun":{"sidereal_longitude":12.209,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":151.8773,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":139.6683,"elapsed_within_tithi_degrees":7.6683},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":151.8773,"elapsed_within_degrees":5.2106},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":164.0863},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2159,"month":4,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509736.770833,"ahargana":1921271.2708,"kali_year":5261,"ayanamsa_lahiri":26.0786,"grahas":{"sun":{"sidereal_longitude":12.499056999999993,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":152.47165700000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false,"latitude":-4.2301},"mars":{"sidereal_longitude":245.85395700000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":17.507157000000007,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":158.24705700000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":55.888356999999985,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":176.51835700000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":261.8023,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":81.8023,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"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":2159,"month":4,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509736.770833,"kali_year":5261,"ahargana":1921271.2708,"sun":{"sidereal_longitude":12.209,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":151.8773,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":139.6683,"elapsed_within_tithi_degrees":7.6683},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":151.8773,"elapsed_within_degrees":5.2106},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":164.0863},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.23,"elongation":139.668},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.23,"opposition_distance":40.332}},"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":"05:42","sunsetLocal":"18:51","solarNoonLocal":"12:17","dayLengthHours":13.151393945182159,"dayLengthDisplay":"13 Hours 09 Mins 05 Secs","nightLengthDisplay":"10 Hours 50 Mins 55 Secs","moonriseLocal":"15:33","moonsetLocal":"03:40","rahuKala":{"name":"Rāhu Kāla","start":"17:13","end":"18:51","startHours":17.209467001708788,"endHours":18.85339124485656,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:17","end":"13:55","startHours":12.277694272265482,"endHours":13.92161851541325,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:34","end":"17:13","startHours":15.56554275856102,"endHours":17.209467001708788,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:13","startHours":8.77065588688357,"endHours":9.20903568505631,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:15","end":"06:36","startHours":6.249972047390324,"endHours":6.600675885928515,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:43","startHours":11.839314474092744,"endHours":12.71607407043822,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:57","end":"04:50","startHours":3.9484781069834467,"endHours":4.8252377033289235,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:36","end":"05:42","startHours":4.6060478042425546,"endHours":5.701997299674401,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:21","startHours":14.469593263129175,"endHours":15.346352859474653,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:39","end":"19:03","startHours":18.65339124485656,"endHours":19.05339124485656,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:51","end":"19:24","startHours":18.85339124485656,"endHours":19.401365992572483,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:36","end":"20:21","startHours":18.60339124485656,"endHours":20.35339124485656,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:43","startHours":23.839314474092742,"endHours":24.71607407043822,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:42","end":"07:21","startHours":5.701997299674401,"endHours":7.345921542822171,"quality":"inauspicious"},{"name":"Chala","start":"07:21","end":"08:59","startHours":7.345921542822171,"endHours":8.98984578596994,"quality":"neutral"},{"name":"Labha","start":"08:59","end":"10:38","startHours":8.98984578596994,"endHours":10.633770029117711,"quality":"auspicious"},{"name":"Amṛta","start":"10:38","end":"12:17","startHours":10.633770029117711,"endHours":12.277694272265482,"quality":"auspicious"},{"name":"Kāla","start":"12:17","end":"13:55","startHours":12.277694272265482,"endHours":13.92161851541325,"quality":"inauspicious"},{"name":"Śubha","start":"13:55","end":"15:34","startHours":13.92161851541325,"endHours":15.56554275856102,"quality":"auspicious"},{"name":"Roga","start":"15:34","end":"17:13","startHours":15.56554275856102,"endHours":17.209467001708788,"quality":"inauspicious"},{"name":"Udveg","start":"17:13","end":"18:51","startHours":17.209467001708788,"endHours":18.85339124485656,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:51","end":"20:13","startHours":18.85339124485656,"endHours":20.20946700170879,"quality":"auspicious"},{"name":"Roga","start":"20:13","end":"21:34","startHours":20.20946700170879,"endHours":21.56554275856102,"quality":"inauspicious"},{"name":"Udveg","start":"21:34","end":"22:55","startHours":21.56554275856102,"endHours":22.92161851541325,"quality":"inauspicious"},{"name":"Chala","start":"22:55","end":"00:17","startHours":22.92161851541325,"endHours":24.27769427226548,"quality":"neutral"},{"name":"Labha","start":"00:17","end":"01:38","startHours":24.27769427226548,"endHours":25.633770029117713,"quality":"auspicious"},{"name":"Amṛta","start":"01:38","end":"02:59","startHours":25.633770029117713,"endHours":26.98984578596994,"quality":"auspicious"},{"name":"Kāla","start":"02:59","end":"04:21","startHours":26.98984578596994,"endHours":28.345921542822172,"quality":"inauspicious"},{"name":"Śubha","start":"04:21","end":"05:42","startHours":28.345921542822172,"endHours":29.701997299674403,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:42","end":"06:42","startHours":5.701997299674401,"endHours":6.701997299674401,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:42","end":"07:42","startHours":6.701997299674401,"endHours":7.701997299674401,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:42","end":"08:42","startHours":7.701997299674401,"endHours":8.701997299674401,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:42","end":"09:42","startHours":8.701997299674401,"endHours":9.701997299674401,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:42","end":"10:42","startHours":9.701997299674401,"endHours":10.701997299674401,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:42","end":"11:42","startHours":10.701997299674401,"endHours":11.701997299674401,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:42","end":"12:42","startHours":11.701997299674401,"endHours":12.701997299674401,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:42","end":"13:42","startHours":12.701997299674401,"endHours":13.701997299674401,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:42","end":"14:42","startHours":13.701997299674401,"endHours":14.701997299674401,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:42","end":"15:42","startHours":14.701997299674401,"endHours":15.701997299674401,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:42","end":"16:42","startHours":15.701997299674401,"endHours":16.701997299674403,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:42","end":"17:42","startHours":16.701997299674403,"endHours":17.701997299674403,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:42","end":"18:42","startHours":17.701997299674403,"endHours":18.701997299674403,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:42","end":"19:42","startHours":18.701997299674403,"endHours":19.701997299674403,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:42","end":"20:42","startHours":19.701997299674403,"endHours":20.701997299674403,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:42","end":"21:42","startHours":20.701997299674403,"endHours":21.701997299674403,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:42","end":"22:42","startHours":21.701997299674403,"endHours":22.701997299674403,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:42","end":"23:42","startHours":22.701997299674403,"endHours":23.701997299674403,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:42","end":"00:42","startHours":23.701997299674403,"endHours":24.701997299674403,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:42","end":"01:42","startHours":24.701997299674403,"endHours":25.701997299674403,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:42","end":"02:42","startHours":25.701997299674403,"endHours":26.701997299674403,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:42","end":"03:42","startHours":26.701997299674403,"endHours":27.701997299674403,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:42","end":"04:42","startHours":27.701997299674403,"endHours":28.701997299674403,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:42","end":"05:42","startHours":28.701997299674403,"endHours":29.701997299674403,"planetary_lord":"Jupiter"}],"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","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.360136462622869,"eotMinutes":2.643543664071059,"ayanamsa":26.0786}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Dvādaśī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 April 29, 2159 CE · Mathurā · Vidhyamitra","description":"April 29, 2159 CE for Mathurā: Śukla Dvādaśī, sūryodaya 05:42, sūryāsta 18:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2159-04-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2159-04-29","sa":"https://sa.vidhyamitra.com/city/mathura/2159-04-29","hi":"https://hi.vidhyamitra.com/city/mathura/2159-04-29","x-default":"https://vidhyamitra.com/city/mathura/2159-04-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T10:27:24.665Z","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":"2026-05-31T10:27:24.665Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T10:27:24.665Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}