{"id":"vidhyamitra:city-day:mathura:2046-06-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2046-06-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2046-06-16","date_display":"June 16, 2046 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":2046,"month":6,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468512.770833,"kali_year":5148,"ahargana":1880047.2708,"sun":{"sidereal_longitude":60.2634,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":209.6928,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":149.4294,"elapsed_within_tithi_degrees":5.4294},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":209.6928,"elapsed_within_degrees":9.6928},"yoga":{"number":21,"name":"Siddha","sum_longitude":269.9562},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2046,"month":6,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468512.770833,"ahargana":1880047.2708,"kali_year":5148,"ayanamsa_lahiri":24.502,"grahas":{"sun":{"sidereal_longitude":60.599717,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":208.72421699999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false,"latitude":-4.3727},"mars":{"sidereal_longitude":174.98971699999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":83.326817,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":350.290217,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":28.349316999999985,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":234.13191699999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":286.0482,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":106.0482,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"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":2046,"month":6,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468512.770833,"kali_year":5148,"ahargana":1880047.2708,"sun":{"sidereal_longitude":60.2634,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":209.6928,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":149.4294,"elapsed_within_tithi_degrees":5.4294},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":209.6928,"elapsed_within_degrees":9.6928},"yoga":{"number":21,"name":"Siddha","sum_longitude":269.9562},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.373,"elongation":149.429},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.373,"opposition_distance":30.571}},"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":13.870925433323348,"dayLengthDisplay":"13 Hours 52 Mins 15 Secs","nightLengthDisplay":"10 Hours 07 Mins 45 Secs","moonriseLocal":"16:50","moonsetLocal":"03:35","rahuKala":{"name":"Rāhu Kāla","start":"08:52","end":"10:36","startHours":8.86067492361322,"endHours":10.594540602778636,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:04","end":"15:48","startHours":14.062271961109474,"endHours":15.796137640274893,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:24","end":"07:08","startHours":5.392943565282382,"endHours":7.1268092444478,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:06","startHours":8.62949283305783,"endHours":9.091857014168607,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:58","end":"06:20","startHours":5.970898791670854,"endHours":6.340790136559477,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:47","startHours":11.866042100833276,"endHours":12.790770463054834,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:28","startHours":3.5434868408392686,"endHours":4.468215203060825,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:14","end":"05:24","startHours":4.237033112505436,"endHours":5.392943565282382,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:34","startHours":14.640227187497947,"endHours":15.564955549719503,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:04","end":"19:28","startHours":19.06386899860573,"endHours":19.46386899860573,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:16","end":"19:51","startHours":19.26386899860573,"endHours":19.841824224994202,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:01","end":"20:46","startHours":19.01386899860573,"endHours":20.76386899860573,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:47","startHours":23.866042100833276,"endHours":24.790770463054834,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:24","end":"07:08","startHours":5.392943565282382,"endHours":7.1268092444478,"quality":"inauspicious"},{"name":"Śubha","start":"07:08","end":"08:52","startHours":7.1268092444478,"endHours":8.86067492361322,"quality":"auspicious"},{"name":"Roga","start":"08:52","end":"10:36","startHours":8.86067492361322,"endHours":10.594540602778636,"quality":"inauspicious"},{"name":"Udveg","start":"10:36","end":"12:20","startHours":10.594540602778636,"endHours":12.328406281944055,"quality":"inauspicious"},{"name":"Chala","start":"12:20","end":"14:04","startHours":12.328406281944055,"endHours":14.062271961109474,"quality":"neutral"},{"name":"Labha","start":"14:04","end":"15:48","startHours":14.062271961109474,"endHours":15.796137640274893,"quality":"auspicious"},{"name":"Amṛta","start":"15:48","end":"17:32","startHours":15.796137640274893,"endHours":17.53000331944031,"quality":"auspicious"},{"name":"Kāla","start":"17:32","end":"19:16","startHours":17.53000331944031,"endHours":19.26386899860573,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:16","end":"20:32","startHours":19.26386899860573,"endHours":20.53000331944031,"quality":"auspicious"},{"name":"Amṛta","start":"20:32","end":"21:48","startHours":20.53000331944031,"endHours":21.796137640274893,"quality":"auspicious"},{"name":"Kāla","start":"21:48","end":"23:04","startHours":21.796137640274893,"endHours":23.062271961109474,"quality":"inauspicious"},{"name":"Śubha","start":"23:04","end":"00:20","startHours":23.062271961109474,"endHours":24.328406281944055,"quality":"auspicious"},{"name":"Roga","start":"00:20","end":"01:36","startHours":24.328406281944055,"endHours":25.594540602778636,"quality":"inauspicious"},{"name":"Udveg","start":"01:36","end":"02:52","startHours":25.594540602778636,"endHours":26.860674923613217,"quality":"inauspicious"},{"name":"Chala","start":"02:52","end":"04:08","startHours":26.860674923613217,"endHours":28.1268092444478,"quality":"neutral"},{"name":"Labha","start":"04:08","end":"05:24","startHours":28.1268092444478,"endHours":29.39294356528238,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.392943565282382,"endHours":6.392943565282382,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.392943565282382,"endHours":7.392943565282382,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.392943565282382,"endHours":8.392943565282382,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.392943565282382,"endHours":9.392943565282382,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.392943565282382,"endHours":10.392943565282382,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.392943565282382,"endHours":11.392943565282382,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.392943565282382,"endHours":12.392943565282382,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.392943565282382,"endHours":13.392943565282382,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.392943565282382,"endHours":14.392943565282382,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.392943565282382,"endHours":15.392943565282382,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.392943565282382,"endHours":16.39294356528238,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.39294356528238,"endHours":17.39294356528238,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.39294356528238,"endHours":18.39294356528238,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.39294356528238,"endHours":19.39294356528238,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.39294356528238,"endHours":20.39294356528238,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.39294356528238,"endHours":21.39294356528238,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.39294356528238,"endHours":22.39294356528238,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.39294356528238,"endHours":23.39294356528238,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.39294356528238,"endHours":24.39294356528238,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.39294356528238,"endHours":25.39294356528238,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.39294356528238,"endHours":26.39294356528238,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.39294356528238,"endHours":27.39294356528238,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.39294356528238,"endHours":28.39294356528238,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.39294356528238,"endHours":29.39294356528238,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":23.345821129376407,"eotMinutes":-0.399176916643208,"ayanamsa":24.502}},"calendars":{"vikram_samvat":2103,"vikram_samvatsara":"Pramāthi","saka_samvat":1968,"saka_samvatsara":"Akṣaya","bengali_samvat":1453,"malayalam_era":1222,"nanakshahi_year":577,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Trayodaśī · Vikram 2103 Pramāthi · Śaka 1968 Akṣaya"},"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},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","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 June 16, 2046 CE · Mathurā · Vidhyamitra","description":"June 16, 2046 CE for Mathurā: Śukla Trayodaśī, sūryodaya 05:24, sūryāsta 19:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2046-06-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2046-06-16","sa":"https://sa.vidhyamitra.com/city/mathura/2046-06-16","hi":"https://hi.vidhyamitra.com/city/mathura/2046-06-16","x-default":"https://vidhyamitra.com/city/mathura/2046-06-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:15:44.334Z","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":"2026-05-14T17:15:44.334Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:15:44.334Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}