{"id":"vidhyamitra:city-day:mathura:2040-06-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2040-06-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-06-04","date_display":"June 4, 2040 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":2040,"month":6,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466309.770833,"kali_year":5142,"ahargana":1877844.2708,"sun":{"sidereal_longitude":49.3964,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":341.4559,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":292.0595,"elapsed_within_tithi_degrees":4.0595},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":341.4559,"elapsed_within_degrees":8.1226},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.8523},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2040,"month":6,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466309.770833,"ahargana":1877844.2708,"kali_year":5142,"ayanamsa_lahiri":24.4177,"grahas":{"sun":{"sidereal_longitude":49.638188000000014,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":343.858788,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false,"latitude":-3.9469},"mars":{"sidereal_longitude":112.37928799999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":71.69458800000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":147.25138800000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":50.14088800000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":160.07448799999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":42.7737,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":222.7737,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":"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":2040,"month":6,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466309.770833,"kali_year":5142,"ahargana":1877844.2708,"sun":{"sidereal_longitude":49.3964,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":341.4559,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":292.0595,"elapsed_within_tithi_degrees":4.0595},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":341.4559,"elapsed_within_degrees":8.1226},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.8523},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.947,"elongation":67.94},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.947,"opposition_distance":112.06}},"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":"05:23","sunsetLocal":"19:11","solarNoonLocal":"12:17","dayLengthHours":13.797500302694566,"dayLengthDisplay":"13 Hours 47 Mins 51 Secs","nightLengthDisplay":"10 Hours 12 Mins 09 Secs","moonriseLocal":"01:45","moonsetLocal":"14:04","rahuKala":{"name":"Rāhu Kāla","start":"07:07","end":"08:50","startHours":7.116265498943182,"endHours":8.840953036780004,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:34","end":"12:17","startHours":10.565640574616824,"endHours":12.290328112453643,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:01","end":"15:44","startHours":14.015015650290465,"endHours":15.739703188127287,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:37","end":"09:04","startHours":8.610994698401761,"endHours":9.070911375158246,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:58","end":"06:20","startHours":5.966473807051968,"endHours":6.3344071484571565,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:45","startHours":11.830411435697158,"endHours":12.750244789210129,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:28","startHours":3.5519112540804194,"endHours":4.47174460759339,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:15","end":"05:23","startHours":4.241786269215147,"endHours":5.3915779611063614,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:35","end":"15:31","startHours":14.58991149623607,"endHours":15.50974484974904,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:59","end":"19:23","startHours":18.989078263800927,"endHours":19.389078263800926,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:11","end":"19:46","startHours":19.189078263800926,"endHours":19.763974109746535,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:56","end":"20:41","startHours":18.939078263800926,"endHours":20.689078263800926,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:45","startHours":23.830411435697158,"endHours":24.75024478921013,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:23","end":"07:07","startHours":5.3915779611063614,"endHours":7.116265498943182,"quality":"auspicious"},{"name":"Kāla","start":"07:07","end":"08:50","startHours":7.116265498943182,"endHours":8.840953036780004,"quality":"inauspicious"},{"name":"Śubha","start":"08:50","end":"10:34","startHours":8.840953036780004,"endHours":10.565640574616824,"quality":"auspicious"},{"name":"Roga","start":"10:34","end":"12:17","startHours":10.565640574616824,"endHours":12.290328112453643,"quality":"inauspicious"},{"name":"Udveg","start":"12:17","end":"14:01","startHours":12.290328112453643,"endHours":14.015015650290465,"quality":"inauspicious"},{"name":"Chala","start":"14:01","end":"15:44","startHours":14.015015650290465,"endHours":15.739703188127287,"quality":"neutral"},{"name":"Labha","start":"15:44","end":"17:28","startHours":15.739703188127287,"endHours":17.464390725964105,"quality":"auspicious"},{"name":"Amṛta","start":"17:28","end":"19:11","startHours":17.464390725964105,"endHours":19.189078263800926,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:11","end":"20:28","startHours":19.189078263800926,"endHours":20.464390725964105,"quality":"neutral"},{"name":"Labha","start":"20:28","end":"21:44","startHours":20.464390725964105,"endHours":21.739703188127287,"quality":"auspicious"},{"name":"Amṛta","start":"21:44","end":"23:01","startHours":21.739703188127287,"endHours":23.015015650290465,"quality":"auspicious"},{"name":"Kāla","start":"23:01","end":"00:17","startHours":23.015015650290465,"endHours":24.290328112453643,"quality":"inauspicious"},{"name":"Śubha","start":"00:17","end":"01:34","startHours":24.290328112453643,"endHours":25.565640574616822,"quality":"auspicious"},{"name":"Roga","start":"01:34","end":"02:50","startHours":25.565640574616822,"endHours":26.84095303678,"quality":"inauspicious"},{"name":"Udveg","start":"02:50","end":"04:07","startHours":26.84095303678,"endHours":28.116265498943182,"quality":"inauspicious"},{"name":"Chala","start":"04:07","end":"05:23","startHours":28.116265498943182,"endHours":29.39157796110636,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:23","end":"06:23","startHours":5.3915779611063614,"endHours":6.3915779611063614,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:23","end":"07:23","startHours":6.3915779611063614,"endHours":7.3915779611063614,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:23","end":"08:23","startHours":7.3915779611063614,"endHours":8.39157796110636,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:23","end":"09:23","startHours":8.39157796110636,"endHours":9.39157796110636,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:23","end":"10:23","startHours":9.39157796110636,"endHours":10.39157796110636,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:23","end":"11:23","startHours":10.39157796110636,"endHours":11.39157796110636,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:23","end":"12:23","startHours":11.39157796110636,"endHours":12.39157796110636,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:23","end":"13:23","startHours":12.39157796110636,"endHours":13.39157796110636,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:23","end":"14:23","startHours":13.39157796110636,"endHours":14.39157796110636,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:23","end":"15:23","startHours":14.39157796110636,"endHours":15.39157796110636,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:23","end":"16:23","startHours":15.39157796110636,"endHours":16.39157796110636,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:23","end":"17:23","startHours":16.39157796110636,"endHours":17.39157796110636,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:23","end":"18:23","startHours":17.39157796110636,"endHours":18.39157796110636,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:23","end":"19:23","startHours":18.39157796110636,"endHours":19.39157796110636,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:23","end":"20:23","startHours":19.39157796110636,"endHours":20.39157796110636,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:23","end":"21:23","startHours":20.39157796110636,"endHours":21.39157796110636,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:23","end":"22:23","startHours":21.39157796110636,"endHours":22.39157796110636,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:23","end":"23:23","startHours":22.39157796110636,"endHours":23.39157796110636,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:23","end":"00:23","startHours":23.39157796110636,"endHours":24.39157796110636,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:23","end":"01:23","startHours":24.39157796110636,"endHours":25.39157796110636,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:23","end":"02:23","startHours":25.39157796110636,"endHours":26.39157796110636,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:23","end":"03:23","startHours":26.39157796110636,"endHours":27.39157796110636,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:23","end":"04:23","startHours":27.39157796110636,"endHours":28.39157796110636,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:23","end":"05:23","startHours":28.39157796110636,"endHours":29.39157796110636,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"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":22.48439146005569,"eotMinutes":1.88551325278147,"ayanamsa":24.4177}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Daśamī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 4, 2040 CE · Mathurā · Vidhyamitra","description":"June 4, 2040 CE for Mathurā: Kṛṣṇa Daśamī, sūryodaya 05:23, sūryāsta 19:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2040-06-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2040-06-04","sa":"https://sa.vidhyamitra.com/city/mathura/2040-06-04","hi":"https://hi.vidhyamitra.com/city/mathura/2040-06-04","x-default":"https://vidhyamitra.com/city/mathura/2040-06-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T20:41:23.303Z","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":"2026-05-14T20:41:23.303Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T20:41:23.303Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}