{"id":"vidhyamitra:city-day:vrindavan:2084-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2084-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2084-05-13","date_display":"May 13, 2084 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":2084,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482358.770833,"kali_year":5186,"ahargana":1893893.2708,"sun":{"sidereal_longitude":28.0233,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":121.6368,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":93.6136,"elapsed_within_tithi_degrees":9.6136},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":121.6368,"elapsed_within_degrees":1.6368},"yoga":{"number":12,"name":"Dhruva","sum_longitude":149.6601},"karana":{"half_tithi_index":15,"name":"Bava"},"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":2084,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2482358.770833,"ahargana":1893893.2708,"kali_year":5186,"ayanamsa_lahiri":25.0315,"grahas":{"sun":{"sidereal_longitude":28.224897999999996,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":118.83439800000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":-2.1948},"mars":{"sidereal_longitude":314.3744979999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":6.442297999999994,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":50.45339799999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":32.09879799999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":335.516098,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":272.4205,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":92.4205,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","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":2084,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482358.770833,"kali_year":5186,"ahargana":1893893.2708,"sun":{"sidereal_longitude":28.0233,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":121.6368,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":93.6136,"elapsed_within_tithi_degrees":9.6136},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":121.6368,"elapsed_within_degrees":1.6368},"yoga":{"number":12,"name":"Dhruva","sum_longitude":149.6601},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.195,"elongation":93.614},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.195,"opposition_distance":86.386}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:31","sunsetLocal":"19:00","solarNoonLocal":"12:16","dayLengthHours":13.482363395046589,"dayLengthDisplay":"13 Hours 28 Mins 57 Secs","nightLengthDisplay":"10 Hours 31 Mins 03 Secs","moonriseLocal":"11:46","moonsetLocal":"00:50","rahuKala":{"name":"Rāhu Kāla","start":"08:53","end":"10:34","startHours":8.889565172179081,"endHours":10.574860596559905,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:57","end":"15:38","startHours":13.94545144532155,"endHours":15.630746869702374,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:31","end":"07:12","startHours":5.518974323417433,"endHours":7.204269747798257,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:07","startHours":8.664859115594972,"endHours":9.11427122876319,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:05","end":"06:26","startHours":6.080739464877707,"endHours":6.440269155412283,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.810743907772506,"endHours":12.709568134108947,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:37","startHours":3.721325870744555,"endHours":4.6201500970809946,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:31","startHours":4.395444040496884,"endHours":5.518974323417433,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:24","startHours":14.507216586781825,"endHours":15.406040813118263,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.801337718464023,"endHours":19.20133771846402,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:34","startHours":19.001337718464022,"endHours":19.563102859924296,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.751337718464022,"endHours":20.501337718464022,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.81074390777251,"endHours":24.709568134108945,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:31","end":"07:12","startHours":5.518974323417433,"endHours":7.204269747798257,"quality":"inauspicious"},{"name":"Śubha","start":"07:12","end":"08:53","startHours":7.204269747798257,"endHours":8.889565172179081,"quality":"auspicious"},{"name":"Roga","start":"08:53","end":"10:34","startHours":8.889565172179081,"endHours":10.574860596559905,"quality":"inauspicious"},{"name":"Udveg","start":"10:34","end":"12:16","startHours":10.574860596559905,"endHours":12.260156020940727,"quality":"inauspicious"},{"name":"Chala","start":"12:16","end":"13:57","startHours":12.260156020940727,"endHours":13.94545144532155,"quality":"neutral"},{"name":"Labha","start":"13:57","end":"15:38","startHours":13.94545144532155,"endHours":15.630746869702374,"quality":"auspicious"},{"name":"Amṛta","start":"15:38","end":"17:19","startHours":15.630746869702374,"endHours":17.316042294083196,"quality":"auspicious"},{"name":"Kāla","start":"17:19","end":"19:00","startHours":17.316042294083196,"endHours":19.001337718464022,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:00","end":"20:19","startHours":19.001337718464022,"endHours":20.3160422940832,"quality":"auspicious"},{"name":"Amṛta","start":"20:19","end":"21:38","startHours":20.3160422940832,"endHours":21.630746869702374,"quality":"auspicious"},{"name":"Kāla","start":"21:38","end":"22:57","startHours":21.630746869702374,"endHours":22.945451445321552,"quality":"inauspicious"},{"name":"Śubha","start":"22:57","end":"00:16","startHours":22.945451445321552,"endHours":24.260156020940727,"quality":"auspicious"},{"name":"Roga","start":"00:16","end":"01:34","startHours":24.260156020940727,"endHours":25.574860596559905,"quality":"inauspicious"},{"name":"Udveg","start":"01:34","end":"02:53","startHours":25.574860596559905,"endHours":26.889565172179083,"quality":"inauspicious"},{"name":"Chala","start":"02:53","end":"04:12","startHours":26.889565172179083,"endHours":28.204269747798257,"quality":"neutral"},{"name":"Labha","start":"04:12","end":"05:31","startHours":28.204269747798257,"endHours":29.51897432341743,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:31","end":"06:31","startHours":5.518974323417433,"endHours":6.518974323417433,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:31","end":"07:31","startHours":6.518974323417433,"endHours":7.518974323417433,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:31","end":"08:31","startHours":7.518974323417433,"endHours":8.518974323417433,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:31","end":"09:31","startHours":8.518974323417433,"endHours":9.518974323417433,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:31","end":"10:31","startHours":9.518974323417433,"endHours":10.518974323417433,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:31","end":"11:31","startHours":10.518974323417433,"endHours":11.518974323417433,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:31","end":"12:31","startHours":11.518974323417433,"endHours":12.518974323417433,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:31","end":"13:31","startHours":12.518974323417433,"endHours":13.518974323417433,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:31","end":"14:31","startHours":13.518974323417433,"endHours":14.518974323417433,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:31","end":"15:31","startHours":14.518974323417433,"endHours":15.518974323417433,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:31","end":"16:31","startHours":15.518974323417433,"endHours":16.51897432341743,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:31","end":"17:31","startHours":16.51897432341743,"endHours":17.51897432341743,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:31","end":"18:31","startHours":17.51897432341743,"endHours":18.51897432341743,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:31","end":"19:31","startHours":18.51897432341743,"endHours":19.51897432341743,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:31","end":"20:31","startHours":19.51897432341743,"endHours":20.51897432341743,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:31","end":"21:31","startHours":20.51897432341743,"endHours":21.51897432341743,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:31","end":"22:31","startHours":21.51897432341743,"endHours":22.51897432341743,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:31","end":"23:31","startHours":22.51897432341743,"endHours":23.51897432341743,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:31","end":"00:31","startHours":23.51897432341743,"endHours":24.51897432341743,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:31","end":"01:31","startHours":24.51897432341743,"endHours":25.51897432341743,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:31","end":"02:31","startHours":25.51897432341743,"endHours":26.51897432341743,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:31","end":"03:31","startHours":26.51897432341743,"endHours":27.51897432341743,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:31","end":"04:31","startHours":27.51897432341743,"endHours":28.51897432341743,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:31","end":"05:31","startHours":28.51897432341743,"endHours":29.51897432341743,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.58500298119568,"eotMinutes":3.7534387435564067,"ayanamsa":25.0315}},"calendars":{"vikram_samvat":2141,"vikram_samvatsara":"Piṅgala","saka_samvat":2006,"saka_samvatsara":"Krodhi","bengali_samvat":1491,"malayalam_era":1260,"nanakshahi_year":615,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Aṣṭamī · Vikram 2141 Piṅgala · Śaka 2006 Krodhi"},"festivals":[],"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":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga May 13, 2084 CE · Vṛndāvana · Vidhyamitra","description":"May 13, 2084 CE for Vṛndāvana: Śukla Aṣṭamī, sūryodaya 05:31, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2084-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2084-05-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2084-05-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2084-05-13","x-default":"https://vidhyamitra.com/city/vrindavan/2084-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T14:22:48.646Z","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":"2026-06-02T14:22:48.646Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T14:22:48.646Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}