{"id":"vidhyamitra:city-day:mathura:2041-06-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2041-06-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2041-06-18","date_display":"June 18, 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":6,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466688.770833,"kali_year":5143,"ahargana":1878223.2708,"sun":{"sidereal_longitude":62.4375,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":288.7838,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.3462,"elapsed_within_tithi_degrees":10.3462},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":288.7838,"elapsed_within_degrees":8.7838},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":351.2213},"karana":{"half_tithi_index":37,"name":"Bālava"},"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":6,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466688.770833,"ahargana":1878223.2708,"kali_year":5143,"ayanamsa_lahiri":24.4322,"grahas":{"sun":{"sidereal_longitude":62.77760699999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":291.2790070000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":-4.4895},"mars":{"sidereal_longitude":21.50030700000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":45.733006999999986,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":177.139007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":17.66030699999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":172.47150699999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":22.6925,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":202.6925,"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":6,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466688.770833,"kali_year":5143,"ahargana":1878223.2708,"sun":{"sidereal_longitude":62.4375,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":288.7838,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.3462,"elapsed_within_tithi_degrees":10.3462},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":288.7838,"elapsed_within_degrees":8.7838},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":351.2213},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.49,"elongation":133.654},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.49,"opposition_distance":46.346}},"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":"05:24","sunsetLocal":"19:16","solarNoonLocal":"12:20","dayLengthHours":13.876188848504892,"dayLengthDisplay":"13 Hours 52 Mins 34 Secs","nightLengthDisplay":"10 Hours 07 Mins 26 Secs","moonriseLocal":"22:06","moonsetLocal":"09:02","rahuKala":{"name":"Rāhu Kāla","start":"15:48","end":"17:32","startHours":15.804411106574552,"endHours":17.538934712637666,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:52","end":"10:36","startHours":8.866316682322108,"endHours":10.600840288385218,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:20","end":"14:04","startHours":12.335363894448331,"endHours":14.069887500511442,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:06","startHours":8.63504686818036,"endHours":9.097586496463856,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:21","startHours":5.975444005550255,"endHours":6.345475708177052,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:48","startHours":11.872824266164834,"endHours":12.797903522731826,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:28","startHours":3.547110957061899,"endHours":4.472190213628892,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:14","end":"05:24","startHours":4.240920399487143,"endHours":5.3972694701958845,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:34","startHours":14.648062035865813,"endHours":15.573141292432807,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:04","end":"19:28","startHours":19.073458318700776,"endHours":19.473458318700775,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:16","end":"19:51","startHours":19.273458318700776,"endHours":19.851632854055147,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:01","end":"20:46","startHours":19.023458318700776,"endHours":20.773458318700776,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:48","startHours":23.87282426616483,"endHours":24.797903522731826,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:24","end":"07:08","startHours":5.3972694701958845,"endHours":7.131793076258996,"quality":"inauspicious"},{"name":"Udveg","start":"07:08","end":"08:52","startHours":7.131793076258996,"endHours":8.866316682322108,"quality":"inauspicious"},{"name":"Chala","start":"08:52","end":"10:36","startHours":8.866316682322108,"endHours":10.600840288385218,"quality":"neutral"},{"name":"Labha","start":"10:36","end":"12:20","startHours":10.600840288385218,"endHours":12.335363894448331,"quality":"auspicious"},{"name":"Amṛta","start":"12:20","end":"14:04","startHours":12.335363894448331,"endHours":14.069887500511442,"quality":"auspicious"},{"name":"Kāla","start":"14:04","end":"15:48","startHours":14.069887500511442,"endHours":15.804411106574552,"quality":"inauspicious"},{"name":"Śubha","start":"15:48","end":"17:32","startHours":15.804411106574552,"endHours":17.538934712637666,"quality":"auspicious"},{"name":"Roga","start":"17:32","end":"19:16","startHours":17.538934712637666,"endHours":19.273458318700776,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:16","end":"20:32","startHours":19.273458318700776,"endHours":20.538934712637666,"quality":"inauspicious"},{"name":"Śubha","start":"20:32","end":"21:48","startHours":20.538934712637666,"endHours":21.804411106574552,"quality":"auspicious"},{"name":"Roga","start":"21:48","end":"23:04","startHours":21.804411106574552,"endHours":23.06988750051144,"quality":"inauspicious"},{"name":"Udveg","start":"23:04","end":"00:20","startHours":23.06988750051144,"endHours":24.335363894448328,"quality":"inauspicious"},{"name":"Chala","start":"00:20","end":"01:36","startHours":24.335363894448328,"endHours":25.600840288385218,"quality":"neutral"},{"name":"Labha","start":"01:36","end":"02:52","startHours":25.600840288385218,"endHours":26.866316682322108,"quality":"auspicious"},{"name":"Amṛta","start":"02:52","end":"04:08","startHours":26.866316682322108,"endHours":28.131793076258994,"quality":"auspicious"},{"name":"Kāla","start":"04:08","end":"05:24","startHours":28.131793076258994,"endHours":29.397269470195884,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.3972694701958845,"endHours":6.3972694701958845,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.3972694701958845,"endHours":7.3972694701958845,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.3972694701958845,"endHours":8.397269470195884,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.397269470195884,"endHours":9.397269470195884,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.397269470195884,"endHours":10.397269470195884,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.397269470195884,"endHours":11.397269470195884,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.397269470195884,"endHours":12.397269470195884,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.397269470195884,"endHours":13.397269470195884,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.397269470195884,"endHours":14.397269470195884,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.397269470195884,"endHours":15.397269470195884,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.397269470195884,"endHours":16.397269470195884,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.397269470195884,"endHours":17.397269470195884,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.397269470195884,"endHours":18.397269470195884,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.397269470195884,"endHours":19.397269470195884,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.397269470195884,"endHours":20.397269470195884,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.397269470195884,"endHours":21.397269470195884,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.397269470195884,"endHours":22.397269470195884,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.397269470195884,"endHours":23.397269470195884,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.397269470195884,"endHours":24.397269470195884,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.397269470195884,"endHours":25.397269470195884,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.397269470195884,"endHours":26.397269470195884,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.397269470195884,"endHours":27.397269470195884,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.397269470195884,"endHours":28.397269470195884,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.397269470195884,"endHours":29.397269470195884,"planetary_lord":"Saturn"}],"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","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"drikRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":23.407058090903828,"eotMinutes":-0.8166336668997627,"ayanamsa":24.4322}},"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 Caturthī · Vikram 2098 Bhāva · Śaka 1963 Durmati"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"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},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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 June 18, 2041 CE · Mathurā · Vidhyamitra","description":"June 18, 2041 CE for Mathurā: Kṛṣṇa Caturthī, sūryodaya 05:24, sūryāsta 19:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2041-06-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2041-06-18","sa":"https://sa.vidhyamitra.com/city/mathura/2041-06-18","hi":"https://hi.vidhyamitra.com/city/mathura/2041-06-18","x-default":"https://vidhyamitra.com/city/mathura/2041-06-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:49:42.386Z","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":"2026-05-14T15:49:42.386Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:49:42.386Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}