{"id":"vidhyamitra:city-day:mathura:2041-05-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2041-05-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2041-05-29","date_display":"May 29, 2041 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":2041,"month":5,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466668.770833,"kali_year":5143,"ahargana":1878203.2708,"sun":{"sidereal_longitude":43.4398,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":33.9202,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":350.4805,"elapsed_within_tithi_degrees":2.4805},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":33.9202,"elapsed_within_degrees":7.2535},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":77.36},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"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":2041,"month":5,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466668.770833,"ahargana":1878203.2708,"kali_year":5143,"ayanamsa_lahiri":24.4314,"grahas":{"sun":{"sidereal_longitude":43.641771000000006,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":32.495870999999966,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":0.7936},"mars":{"sidereal_longitude":6.712970999999982,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":53.913471000000015,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":177.72477100000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":357.164171,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":172.86787100000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":23.7522,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":203.7522,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2041,"month":5,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466668.770833,"kali_year":5143,"ahargana":1878203.2708,"sun":{"sidereal_longitude":43.4398,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":33.9202,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":350.4805,"elapsed_within_tithi_degrees":2.4805},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":33.9202,"elapsed_within_degrees":7.2535},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":77.36},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.794,"elongation":9.52},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.794,"opposition_distance":170.48}},"eclipse_window_40days":[{"offset_days":-13,"type":"lunar","occurs":true,"moon_latitude":-0.457,"opposition_distance":0.75}]},"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":"05:25","sunsetLocal":"19:08","solarNoonLocal":"12:17","dayLengthHours":13.727564157778797,"dayLengthDisplay":"13 Hours 43 Mins 39 Secs","nightLengthDisplay":"10 Hours 16 Mins 21 Secs","moonriseLocal":"04:47","moonsetLocal":"18:17","rahuKala":{"name":"Rāhu Kāla","start":"12:17","end":"13:59","startHours":12.275618384642666,"endHours":13.991563904365016,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:08","end":"08:51","startHours":7.127781825475617,"endHours":8.843727345197967,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:34","end":"12:17","startHours":10.559672864920316,"endHours":12.275618384642666,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:37","end":"09:04","startHours":8.614934609234988,"endHours":9.072520081160947,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:21","startHours":5.9838181456607185,"endHours":6.349886523201486,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:44","startHours":11.818032912716708,"endHours":12.733203856568627,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:35","end":"04:30","startHours":3.5814944180494286,"endHours":4.496665361901348,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:16","end":"05:25","startHours":4.267872625938368,"endHours":5.411836305753268,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:29","startHours":14.563545744272467,"endHours":15.478716688124386,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:56","end":"19:20","startHours":18.939400463532067,"endHours":19.339400463532066,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:08","end":"19:43","startHours":19.139400463532066,"endHours":19.711382303439517,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:53","end":"20:38","startHours":18.889400463532066,"endHours":20.639400463532066,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:44","startHours":23.81803291271671,"endHours":24.73320385656863,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:25","end":"07:08","startHours":5.411836305753268,"endHours":7.127781825475617,"quality":"auspicious"},{"name":"Amṛta","start":"07:08","end":"08:51","startHours":7.127781825475617,"endHours":8.843727345197967,"quality":"auspicious"},{"name":"Kāla","start":"08:51","end":"10:34","startHours":8.843727345197967,"endHours":10.559672864920316,"quality":"inauspicious"},{"name":"Śubha","start":"10:34","end":"12:17","startHours":10.559672864920316,"endHours":12.275618384642666,"quality":"auspicious"},{"name":"Roga","start":"12:17","end":"13:59","startHours":12.275618384642666,"endHours":13.991563904365016,"quality":"inauspicious"},{"name":"Udveg","start":"13:59","end":"15:42","startHours":13.991563904365016,"endHours":15.707509424087366,"quality":"inauspicious"},{"name":"Chala","start":"15:42","end":"17:25","startHours":15.707509424087366,"endHours":17.423454943809716,"quality":"neutral"},{"name":"Labha","start":"17:25","end":"19:08","startHours":17.423454943809716,"endHours":19.139400463532066,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:08","end":"20:25","startHours":19.139400463532066,"endHours":20.423454943809716,"quality":"inauspicious"},{"name":"Chala","start":"20:25","end":"21:42","startHours":20.423454943809716,"endHours":21.707509424087366,"quality":"neutral"},{"name":"Labha","start":"21:42","end":"22:59","startHours":21.707509424087366,"endHours":22.991563904365016,"quality":"auspicious"},{"name":"Amṛta","start":"22:59","end":"00:17","startHours":22.991563904365016,"endHours":24.27561838464267,"quality":"auspicious"},{"name":"Kāla","start":"00:17","end":"01:34","startHours":24.27561838464267,"endHours":25.559672864920316,"quality":"inauspicious"},{"name":"Śubha","start":"01:34","end":"02:51","startHours":25.559672864920316,"endHours":26.84372734519797,"quality":"auspicious"},{"name":"Roga","start":"02:51","end":"04:08","startHours":26.84372734519797,"endHours":28.12778182547562,"quality":"inauspicious"},{"name":"Udveg","start":"04:08","end":"05:25","startHours":28.12778182547562,"endHours":29.41183630575327,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:25","end":"06:25","startHours":5.411836305753268,"endHours":6.411836305753268,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:25","end":"07:25","startHours":6.411836305753268,"endHours":7.411836305753268,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:25","end":"08:25","startHours":7.411836305753268,"endHours":8.411836305753269,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:25","end":"09:25","startHours":8.411836305753269,"endHours":9.411836305753269,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:25","end":"10:25","startHours":9.411836305753269,"endHours":10.411836305753269,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:25","end":"11:25","startHours":10.411836305753269,"endHours":11.411836305753269,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:25","end":"12:25","startHours":11.411836305753269,"endHours":12.411836305753269,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:25","end":"13:25","startHours":12.411836305753269,"endHours":13.411836305753269,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:25","end":"14:25","startHours":13.411836305753269,"endHours":14.411836305753269,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:25","end":"15:25","startHours":14.411836305753269,"endHours":15.411836305753269,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:25","end":"16:25","startHours":15.411836305753269,"endHours":16.41183630575327,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:25","end":"17:25","startHours":16.41183630575327,"endHours":17.41183630575327,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:25","end":"18:25","startHours":17.41183630575327,"endHours":18.41183630575327,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:25","end":"19:25","startHours":18.41183630575327,"endHours":19.41183630575327,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:25","end":"20:25","startHours":19.41183630575327,"endHours":20.41183630575327,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:25","end":"21:25","startHours":20.41183630575327,"endHours":21.41183630575327,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:25","end":"22:25","startHours":21.41183630575327,"endHours":22.41183630575327,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:25","end":"23:25","startHours":22.41183630575327,"endHours":23.41183630575327,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:25","end":"00:25","startHours":23.41183630575327,"endHours":24.41183630575327,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:25","end":"01:25","startHours":24.41183630575327,"endHours":25.41183630575327,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:25","end":"02:25","startHours":25.41183630575327,"endHours":26.41183630575327,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:25","end":"03:25","startHours":26.41183630575327,"endHours":27.41183630575327,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:25","end":"04:25","startHours":27.41183630575327,"endHours":28.41183630575327,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:25","end":"05:25","startHours":28.41183630575327,"endHours":29.41183630575327,"planetary_lord":"Sun"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.651559347635796,"eotMinutes":2.7680969214399593,"ayanamsa":24.4314}},"calendars":{"vikram_samvat":2098,"vikram_samvatsara":"Bhāva","saka_samvat":1963,"saka_samvatsara":"Durmati","bengali_samvat":1448,"malayalam_era":1217,"nanakshahi_year":572,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Amāvasyā · Vikram 2098 Bhāva · Śaka 1963 Durmati"},"festivals":[{"id":"vat-savitri-amavasya","name":"Vaṭa Sāvitrī Amāvasyā","name_sanskrit":"वट सावित्री अमावस्या","tradition":"Pan-Hindu","associated_deity":"Sāvitrī Devī","significance":"Sāvitrī's redemption of Satyavān from Yama; pati-vrata observance.","vrata":true,"detection":{"tithi_number":30,"tithi_paksha":"Kṛṣṇa","lunar_month":"Jyeṣṭha"},"precedence":2,"sources":["Mahābhārata, Vana Parva — Sāvitrī Upākhyāna"]},{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi":"Vṛṣabha"},"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"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 May 29, 2041 CE · Mathurā · Vidhyamitra","description":"May 29, 2041 CE for Mathurā: Kṛṣṇa Amāvasyā, sūryodaya 05:25, sūryāsta 19:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2041-05-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2041-05-29","sa":"https://sa.vidhyamitra.com/city/mathura/2041-05-29","hi":"https://hi.vidhyamitra.com/city/mathura/2041-05-29","x-default":"https://vidhyamitra.com/city/mathura/2041-05-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:59:01.600Z","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":"2026-05-14T15:59:01.601Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:59:01.601Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}