{"id":"vidhyamitra:city-day:vrindavan:2155-04-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2155-04-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2155-04-13","date_display":"April 13, 2155 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":2155,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2508259.770833,"kali_year":5256,"ahargana":1919794.2708,"sun":{"sidereal_longitude":356.666,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":120.737,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":124.0711,"elapsed_within_tithi_degrees":4.0711},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":120.737,"elapsed_within_degrees":0.737},"yoga":{"number":9,"name":"Śūla","sum_longitude":117.403},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2155,"month":4,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2508259.770833,"ahargana":1919794.2708,"kali_year":5256,"ayanamsa_lahiri":26.0221,"grahas":{"sun":{"sidereal_longitude":356.88358900000003,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":120.88448900000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":2.8499},"mars":{"sidereal_longitude":147.045789,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":10.131088999999974,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":37.20658900000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":332.00798899999995,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":123.363789,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":340.0608,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":160.0608,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":2155,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2508259.770833,"kali_year":5256,"ahargana":1919794.2708,"sun":{"sidereal_longitude":356.666,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":120.737,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":124.0711,"elapsed_within_tithi_degrees":4.0711},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":120.737,"elapsed_within_degrees":0.737},"yoga":{"number":9,"name":"Śūla","sum_longitude":117.403},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.85,"elongation":124.071},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.85,"opposition_distance":55.929}},"eclipse_window_40days":[{"offset_days":-11,"type":"solar","occurs":true,"moon_latitude":0.5,"elongation":1.176}]},"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":"05:58","sunsetLocal":"18:43","solarNoonLocal":"12:20","dayLengthHours":12.752899016775167,"dayLengthDisplay":"12 Hours 45 Mins 10 Secs","nightLengthDisplay":"11 Hours 14 Mins 50 Secs","moonriseLocal":"14:07","moonsetLocal":"03:06","rahuKala":{"name":"Rāhu Kāla","start":"17:07","end":"18:43","startHours":17.117880645119094,"endHours":18.71199302221599,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:20","end":"13:56","startHours":12.335543513828405,"endHours":13.929655890925302,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:31","end":"17:07","startHours":15.523768268022199,"endHours":17.117880645119094,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:22","startHours":8.934770442688361,"endHours":9.359867076580867,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:50","startHours":6.490464797806454,"endHours":6.830542104920458,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:46","startHours":11.910446879935899,"endHours":12.760640147720911,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:16","end":"05:07","startHours":4.2587074698708,"endHours":5.108900737655811,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:54","end":"05:58","startHours":4.896352420709558,"endHours":5.959094005440822,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:19","startHours":14.461026683290935,"endHours":15.311219951075946,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:31","end":"18:55","startHours":18.51199302221599,"endHours":18.911993022215988,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:43","end":"19:15","startHours":18.71199302221599,"endHours":19.24336381458162,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:28","end":"20:13","startHours":18.46199302221599,"endHours":20.21199302221599,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:46","startHours":23.9104468799359,"endHours":24.76064014772091,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:58","end":"07:33","startHours":5.959094005440822,"endHours":7.553206382537718,"quality":"inauspicious"},{"name":"Chala","start":"07:33","end":"09:09","startHours":7.553206382537718,"endHours":9.147318759634615,"quality":"neutral"},{"name":"Labha","start":"09:09","end":"10:44","startHours":9.147318759634615,"endHours":10.74143113673151,"quality":"auspicious"},{"name":"Amṛta","start":"10:44","end":"12:20","startHours":10.74143113673151,"endHours":12.335543513828405,"quality":"auspicious"},{"name":"Kāla","start":"12:20","end":"13:56","startHours":12.335543513828405,"endHours":13.929655890925302,"quality":"inauspicious"},{"name":"Śubha","start":"13:56","end":"15:31","startHours":13.929655890925302,"endHours":15.523768268022199,"quality":"auspicious"},{"name":"Roga","start":"15:31","end":"17:07","startHours":15.523768268022199,"endHours":17.117880645119094,"quality":"inauspicious"},{"name":"Udveg","start":"17:07","end":"18:43","startHours":17.117880645119094,"endHours":18.71199302221599,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:43","end":"20:07","startHours":18.71199302221599,"endHours":20.117880645119094,"quality":"auspicious"},{"name":"Roga","start":"20:07","end":"21:31","startHours":20.117880645119094,"endHours":21.523768268022195,"quality":"inauspicious"},{"name":"Udveg","start":"21:31","end":"22:56","startHours":21.523768268022195,"endHours":22.9296558909253,"quality":"inauspicious"},{"name":"Chala","start":"22:56","end":"00:20","startHours":22.9296558909253,"endHours":24.335543513828405,"quality":"neutral"},{"name":"Labha","start":"00:20","end":"01:44","startHours":24.335543513828405,"endHours":25.74143113673151,"quality":"auspicious"},{"name":"Amṛta","start":"01:44","end":"03:09","startHours":25.74143113673151,"endHours":27.147318759634615,"quality":"auspicious"},{"name":"Kāla","start":"03:09","end":"04:33","startHours":27.147318759634615,"endHours":28.553206382537716,"quality":"inauspicious"},{"name":"Śubha","start":"04:33","end":"05:58","startHours":28.553206382537716,"endHours":29.95909400544082,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:58","end":"06:58","startHours":5.959094005440822,"endHours":6.959094005440822,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:58","end":"07:58","startHours":6.959094005440822,"endHours":7.959094005440822,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:58","end":"08:58","startHours":7.959094005440822,"endHours":8.959094005440821,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:58","end":"09:58","startHours":8.959094005440821,"endHours":9.959094005440821,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:58","end":"10:58","startHours":9.959094005440821,"endHours":10.959094005440821,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:58","end":"11:58","startHours":10.959094005440821,"endHours":11.959094005440821,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:58","end":"12:58","startHours":11.959094005440821,"endHours":12.959094005440821,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:58","end":"13:58","startHours":12.959094005440821,"endHours":13.959094005440821,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:58","end":"14:58","startHours":13.959094005440821,"endHours":14.959094005440821,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:58","end":"15:58","startHours":14.959094005440821,"endHours":15.959094005440821,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:58","end":"16:58","startHours":15.959094005440821,"endHours":16.95909400544082,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:58","end":"17:58","startHours":16.95909400544082,"endHours":17.95909400544082,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:58","end":"18:58","startHours":17.95909400544082,"endHours":18.95909400544082,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:58","end":"19:58","startHours":18.95909400544082,"endHours":19.95909400544082,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:58","end":"20:58","startHours":19.95909400544082,"endHours":20.95909400544082,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:58","end":"21:58","startHours":20.95909400544082,"endHours":21.95909400544082,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:58","end":"22:58","startHours":21.95909400544082,"endHours":22.95909400544082,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:58","end":"23:58","startHours":22.95909400544082,"endHours":23.95909400544082,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:58","end":"00:58","startHours":23.95909400544082,"endHours":24.95909400544082,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:58","end":"01:58","startHours":24.95909400544082,"endHours":25.95909400544082,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:58","end":"02:58","startHours":25.95909400544082,"endHours":26.95909400544082,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:58","end":"03:58","startHours":26.95909400544082,"endHours":27.95909400544082,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:58","end":"04:58","startHours":27.95909400544082,"endHours":28.95909400544082,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:58","end":"05:58","startHours":28.95909400544082,"endHours":29.95909400544082,"planetary_lord":"Jupiter"}],"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":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":8.90540614990062,"eotMinutes":-0.7698108297043191,"ayanamsa":26.0221}},"calendars":{"vikram_samvat":2212,"vikram_samvatsara":"Vibhava","saka_samvat":2077,"saka_samvatsara":"Rākṣasa","bengali_samvat":1562,"malayalam_era":1331,"nanakshahi_year":686,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Ekādaśī · Vikram 2212 Vibhava · Śaka 2077 Rākṣasa"},"festivals":[{"id":"kamada-ekadashi","name":"Kāmadā Ekādaśī","name_sanskrit":"कामदा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Fulfills righteous desires; removes brahma-hatyā.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Caitra"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 April 13, 2155 CE · Vṛndāvana · Vidhyamitra","description":"April 13, 2155 CE for Vṛndāvana: Śukla Ekādaśī, sūryodaya 05:58, sūryāsta 18:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2155-04-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2155-04-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2155-04-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2155-04-13","x-default":"https://vidhyamitra.com/city/vrindavan/2155-04-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T11:57:23.325Z","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":"2026-05-31T11:57:23.325Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T11:57:23.325Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}