{"id":"vidhyamitra:city-day:mathura:2041-07-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2041-07-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2041-07-16","date_display":"July 16, 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":7,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466716.770833,"kali_year":5143,"ahargana":1878251.2708,"sun":{"sidereal_longitude":88.9479,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":297.9806,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":209.0327,"elapsed_within_tithi_degrees":5.0327},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":297.9806,"elapsed_within_degrees":4.6472},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":26.9284},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"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":2041,"month":7,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466716.770833,"ahargana":1878251.2708,"kali_year":5143,"ayanamsa_lahiri":24.4333,"grahas":{"sun":{"sidereal_longitude":89.48183699999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":301.022237,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":-4.4685},"mars":{"sidereal_longitude":41.49803700000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":75.16943700000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":178.29433700000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":48.634236999999985,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":173.02033699999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":21.2089,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":201.2089,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2041,"month":7,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466716.770833,"kali_year":5143,"ahargana":1878251.2708,"sun":{"sidereal_longitude":88.9479,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":297.9806,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":209.0327,"elapsed_within_tithi_degrees":5.0327},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":297.9806,"elapsed_within_degrees":4.6472},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":26.9284},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.469,"elongation":150.967},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.469,"opposition_distance":29.033}},"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":"05:34","sunsetLocal":"19:16","solarNoonLocal":"12:25","dayLengthHours":13.700044797846038,"dayLengthDisplay":"13 Hours 42 Mins 00 Secs","nightLengthDisplay":"10 Hours 18 Mins 00 Secs","moonriseLocal":"20:56","moonsetLocal":"08:06","rahuKala":{"name":"Rāhu Kāla","start":"15:50","end":"17:33","startHours":15.84147687639946,"endHours":17.553982476130216,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:59","end":"10:42","startHours":8.991454477476442,"endHours":10.703960077207196,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:25","end":"14:08","startHours":12.41646567693795,"endHours":14.128971276668706,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:13","startHours":8.76312039751234,"endHours":9.219788557440541,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:08","end":"06:30","startHours":6.137278477925183,"endHours":6.502613005867744,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.959797517009749,"endHours":12.87313383686615,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:39","startHours":3.7397706383021267,"endHours":4.653106958158529,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:34","startHours":4.424772878194428,"endHours":5.5664432780149316,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.699806476578956,"endHours":15.613142796435358,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:04","end":"19:28","startHours":19.06648807586097,"endHours":19.46648807586097,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:16","end":"19:50","startHours":19.26648807586097,"endHours":19.837323275771222,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:01","end":"20:46","startHours":19.01648807586097,"endHours":20.76648807586097,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.959797517009747,"endHours":24.873133836866153,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:34","end":"07:17","startHours":5.5664432780149316,"endHours":7.2789488777456866,"quality":"inauspicious"},{"name":"Udveg","start":"07:17","end":"08:59","startHours":7.2789488777456866,"endHours":8.991454477476442,"quality":"inauspicious"},{"name":"Chala","start":"08:59","end":"10:42","startHours":8.991454477476442,"endHours":10.703960077207196,"quality":"neutral"},{"name":"Labha","start":"10:42","end":"12:25","startHours":10.703960077207196,"endHours":12.41646567693795,"quality":"auspicious"},{"name":"Amṛta","start":"12:25","end":"14:08","startHours":12.41646567693795,"endHours":14.128971276668706,"quality":"auspicious"},{"name":"Kāla","start":"14:08","end":"15:50","startHours":14.128971276668706,"endHours":15.84147687639946,"quality":"inauspicious"},{"name":"Śubha","start":"15:50","end":"17:33","startHours":15.84147687639946,"endHours":17.553982476130216,"quality":"auspicious"},{"name":"Roga","start":"17:33","end":"19:16","startHours":17.553982476130216,"endHours":19.26648807586097,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:16","end":"20:33","startHours":19.26648807586097,"endHours":20.553982476130216,"quality":"inauspicious"},{"name":"Śubha","start":"20:33","end":"21:50","startHours":20.553982476130216,"endHours":21.84147687639946,"quality":"auspicious"},{"name":"Roga","start":"21:50","end":"23:08","startHours":21.84147687639946,"endHours":23.128971276668707,"quality":"inauspicious"},{"name":"Udveg","start":"23:08","end":"00:25","startHours":23.128971276668707,"endHours":24.41646567693795,"quality":"inauspicious"},{"name":"Chala","start":"00:25","end":"01:42","startHours":24.41646567693795,"endHours":25.703960077207196,"quality":"neutral"},{"name":"Labha","start":"01:42","end":"02:59","startHours":25.703960077207196,"endHours":26.99145447747644,"quality":"auspicious"},{"name":"Amṛta","start":"02:59","end":"04:17","startHours":26.99145447747644,"endHours":28.278948877745684,"quality":"auspicious"},{"name":"Kāla","start":"04:17","end":"05:34","startHours":28.278948877745684,"endHours":29.56644327801493,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:34","end":"06:34","startHours":5.5664432780149316,"endHours":6.5664432780149316,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:34","end":"07:34","startHours":6.5664432780149316,"endHours":7.5664432780149316,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:34","end":"08:34","startHours":7.5664432780149316,"endHours":8.566443278014932,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:34","end":"09:34","startHours":8.566443278014932,"endHours":9.566443278014932,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:34","end":"10:34","startHours":9.566443278014932,"endHours":10.566443278014932,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:34","end":"11:34","startHours":10.566443278014932,"endHours":11.566443278014932,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:34","end":"12:34","startHours":11.566443278014932,"endHours":12.566443278014932,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:34","end":"13:34","startHours":12.566443278014932,"endHours":13.566443278014932,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:34","end":"14:34","startHours":13.566443278014932,"endHours":14.566443278014932,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:34","end":"15:34","startHours":14.566443278014932,"endHours":15.566443278014932,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:34","end":"16:34","startHours":15.566443278014932,"endHours":16.56644327801493,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:34","end":"17:34","startHours":16.56644327801493,"endHours":17.56644327801493,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:34","end":"18:34","startHours":17.56644327801493,"endHours":18.56644327801493,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:34","end":"19:34","startHours":18.56644327801493,"endHours":19.56644327801493,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:34","end":"20:34","startHours":19.56644327801493,"endHours":20.56644327801493,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:34","end":"21:34","startHours":20.56644327801493,"endHours":21.56644327801493,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:34","end":"22:34","startHours":21.56644327801493,"endHours":22.56644327801493,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:34","end":"23:34","startHours":22.56644327801493,"endHours":23.56644327801493,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:34","end":"00:34","startHours":23.56644327801493,"endHours":24.56644327801493,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:34","end":"01:34","startHours":24.56644327801493,"endHours":25.56644327801493,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:34","end":"02:34","startHours":25.56644327801493,"endHours":26.56644327801493,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:34","end":"03:34","startHours":26.56644327801493,"endHours":27.56644327801493,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:34","end":"04:34","startHours":27.56644327801493,"endHours":28.56644327801493,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:34","end":"05:34","startHours":28.56644327801493,"endHours":29.56644327801493,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.32058196144173,"eotMinutes":-5.682740616276977,"ayanamsa":24.4333}},"calendars":{"vikram_samvat":2098,"vikram_samvatsara":"Bhāva","saka_samvat":1963,"saka_samvatsara":"Durmati","bengali_samvat":1448,"malayalam_era":1217,"nanakshahi_year":572,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Tṛtīyā · Vikram 2098 Bhāva · Śaka 1963 Durmati"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"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 July 16, 2041 CE · Mathurā · Vidhyamitra","description":"July 16, 2041 CE for Mathurā: Kṛṣṇa Tṛtīyā, sūryodaya 05:34, sūryāsta 19:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2041-07-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2041-07-16","sa":"https://sa.vidhyamitra.com/city/mathura/2041-07-16","hi":"https://hi.vidhyamitra.com/city/mathura/2041-07-16","x-default":"https://vidhyamitra.com/city/mathura/2041-07-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:44:33.586Z","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":"2026-05-14T12:44:33.586Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:44:33.586Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}