{"id":"vidhyamitra:city-day:vrindavan:2101-05-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2101-05-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2101-05-11","date_display":"May 11, 2101 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":2101,"month":5,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488564.770833,"kali_year":5203,"ahargana":1900099.2708,"sun":{"sidereal_longitude":24.759,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":172.3995,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":147.6405,"elapsed_within_tithi_degrees":3.6405},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.3995,"elapsed_within_degrees":12.3995},"yoga":{"number":15,"name":"Vajra","sum_longitude":197.1585},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2101,"month":5,"day":11,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488564.770833,"ahargana":1900099.2708,"kali_year":5203,"ayanamsa_lahiri":25.2689,"grahas":{"sun":{"sidereal_longitude":24.980883000000006,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":171.55118300000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":-3.3845},"mars":{"sidereal_longitude":323.90168300000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":37.44368300000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":202.08858299999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":41.189982999999984,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":187.68618300000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":303.5967,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":123.5967,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"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":2101,"month":5,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488564.770833,"kali_year":5203,"ahargana":1900099.2708,"sun":{"sidereal_longitude":24.759,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":172.3995,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":147.6405,"elapsed_within_tithi_degrees":3.6405},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.3995,"elapsed_within_degrees":12.3995},"yoga":{"number":15,"name":"Vajra","sum_longitude":197.1585},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.384,"elongation":147.64},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.384,"opposition_distance":32.36}},"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":"05:33","sunsetLocal":"18:58","solarNoonLocal":"12:16","dayLengthHours":13.42057084870602,"dayLengthDisplay":"13 Hours 25 Mins 14 Secs","nightLengthDisplay":"10 Hours 34 Mins 46 Secs","moonriseLocal":"16:13","moonsetLocal":"03:51","rahuKala":{"name":"Rāhu Kāla","start":"12:16","end":"13:56","startHours":12.260846838934857,"endHours":13.938418195023107,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:14","end":"08:54","startHours":7.228132770670098,"endHours":8.905704126758351,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:35","end":"12:16","startHours":10.583275482846602,"endHours":12.260846838934857,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:08","startHours":8.682027945946583,"endHours":9.129380307570118,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:28","startHours":6.109751866611263,"endHours":6.46763375591009,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:42","startHours":11.813494477311323,"endHours":12.70819920055839,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:46","end":"04:39","startHours":3.7611519680877095,"endHours":4.655856691334777,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:26","end":"05:33","startHours":4.43218051052301,"endHours":5.550561414581845,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:24","startHours":14.497608647052527,"endHours":15.392313370299595,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:46","end":"19:10","startHours":18.771132263287868,"endHours":19.171132263287866,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:58","end":"19:32","startHours":18.971132263287867,"endHours":19.530322715317283,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:43","end":"20:28","startHours":18.721132263287867,"endHours":20.471132263287867,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:42","startHours":23.813494477311323,"endHours":24.70819920055839,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:33","end":"07:14","startHours":5.550561414581845,"endHours":7.228132770670098,"quality":"auspicious"},{"name":"Amṛta","start":"07:14","end":"08:54","startHours":7.228132770670098,"endHours":8.905704126758351,"quality":"auspicious"},{"name":"Kāla","start":"08:54","end":"10:35","startHours":8.905704126758351,"endHours":10.583275482846602,"quality":"inauspicious"},{"name":"Śubha","start":"10:35","end":"12:16","startHours":10.583275482846602,"endHours":12.260846838934857,"quality":"auspicious"},{"name":"Roga","start":"12:16","end":"13:56","startHours":12.260846838934857,"endHours":13.938418195023107,"quality":"inauspicious"},{"name":"Udveg","start":"13:56","end":"15:37","startHours":13.938418195023107,"endHours":15.615989551111362,"quality":"inauspicious"},{"name":"Chala","start":"15:37","end":"17:18","startHours":15.615989551111362,"endHours":17.293560907199613,"quality":"neutral"},{"name":"Labha","start":"17:18","end":"18:58","startHours":17.293560907199613,"endHours":18.971132263287867,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:58","end":"20:18","startHours":18.971132263287867,"endHours":20.293560907199613,"quality":"inauspicious"},{"name":"Chala","start":"20:18","end":"21:37","startHours":20.293560907199613,"endHours":21.615989551111362,"quality":"neutral"},{"name":"Labha","start":"21:37","end":"22:56","startHours":21.615989551111362,"endHours":22.93841819502311,"quality":"auspicious"},{"name":"Amṛta","start":"22:56","end":"00:16","startHours":22.93841819502311,"endHours":24.260846838934857,"quality":"auspicious"},{"name":"Kāla","start":"00:16","end":"01:35","startHours":24.260846838934857,"endHours":25.583275482846602,"quality":"inauspicious"},{"name":"Śubha","start":"01:35","end":"02:54","startHours":25.583275482846602,"endHours":26.90570412675835,"quality":"auspicious"},{"name":"Roga","start":"02:54","end":"04:14","startHours":26.90570412675835,"endHours":28.2281327706701,"quality":"inauspicious"},{"name":"Udveg","start":"04:14","end":"05:33","startHours":28.2281327706701,"endHours":29.550561414581846,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.550561414581845,"endHours":6.550561414581845,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.550561414581845,"endHours":7.550561414581845,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.550561414581845,"endHours":8.550561414581846,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.550561414581846,"endHours":9.550561414581846,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.550561414581846,"endHours":10.550561414581846,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.550561414581846,"endHours":11.550561414581846,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.550561414581846,"endHours":12.550561414581846,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.550561414581846,"endHours":13.550561414581846,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.550561414581846,"endHours":14.550561414581846,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.550561414581846,"endHours":15.550561414581846,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.550561414581846,"endHours":16.550561414581846,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.550561414581846,"endHours":17.550561414581846,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.550561414581846,"endHours":18.550561414581846,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.550561414581846,"endHours":19.550561414581846,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.550561414581846,"endHours":20.550561414581846,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.550561414581846,"endHours":21.550561414581846,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.550561414581846,"endHours":22.550561414581846,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.550561414581846,"endHours":23.550561414581846,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.550561414581846,"endHours":24.550561414581846,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.550561414581846,"endHours":25.550561414581846,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.550561414581846,"endHours":26.550561414581846,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.550561414581846,"endHours":27.550561414581846,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.550561414581846,"endHours":28.550561414581846,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.550561414581846,"endHours":29.550561414581846,"planetary_lord":"Sun"}],"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","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"South-West","anandadiYoga":{"name":"Rākṣasa","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":17.805842383506263,"eotMinutes":3.71198966390865,"ayanamsa":25.2689}},"calendars":{"vikram_samvat":2158,"vikram_samvatsara":"Bhāva","saka_samvat":2023,"saka_samvatsara":"Durmati","bengali_samvat":1508,"malayalam_era":1277,"nanakshahi_year":632,"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 Trayodaśī · Vikram 2158 Bhāva · Śaka 2023 Durmati"},"festivals":[{"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 11, 2101 CE · Vṛndāvana · Vidhyamitra","description":"May 11, 2101 CE for Vṛndāvana: Śukla Trayodaśī, sūryodaya 05:33, sūryāsta 18:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2101-05-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2101-05-11","sa":"https://sa.vidhyamitra.com/city/vrindavan/2101-05-11","hi":"https://hi.vidhyamitra.com/city/vrindavan/2101-05-11","x-default":"https://vidhyamitra.com/city/vrindavan/2101-05-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T14:54:14.028Z","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":"2026-06-02T14:54:14.028Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T14:54:14.028Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}