{"id":"vidhyamitra:city-day:vrindavan:2040-10-28:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2040-10-28","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-10-28","date_display":"October 28, 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":10,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466455.770833,"kali_year":5142,"ahargana":1877990.2708,"sun":{"sidereal_longitude":190.0149,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":101.3405,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":271.3257,"elapsed_within_tithi_degrees":7.3257},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":101.3405,"elapsed_within_degrees":8.0072},"yoga":{"number":22,"name":"Sādhya","sum_longitude":291.3554},"karana":{"half_tithi_index":45,"name":"Kaulava"},"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":2040,"month":10,"day":28,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466455.770833,"ahargana":1877990.2708,"kali_year":5142,"ayanamsa_lahiri":24.4233,"grahas":{"sun":{"sidereal_longitude":190.81230900000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":101.015109,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false,"latitude":4.1199},"mars":{"sidereal_longitude":204.638109,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":177.46990900000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":172.28270900000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"venus":{"sidereal_longitude":228.480409,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":172.32860900000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":35.0379,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":215.0379,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2040,"month":10,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466455.770833,"kali_year":5142,"ahargana":1877990.2708,"sun":{"sidereal_longitude":190.0149,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":101.3405,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":271.3257,"elapsed_within_tithi_degrees":7.3257},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":101.3405,"elapsed_within_degrees":8.0072},"yoga":{"number":22,"name":"Sādhya","sum_longitude":291.3554},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.12,"elongation":88.674},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.12,"opposition_distance":91.326}},"eclipse_window_40days":[{"offset_days":8,"type":"solar","occurs":true,"moon_latitude":1.132,"elongation":1.981}]},"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":"06:27","sunsetLocal":"17:39","solarNoonLocal":"12:03","dayLengthHours":11.187012245339425,"dayLengthDisplay":"11 Hours 11 Mins 13 Secs","nightLengthDisplay":"12 Hours 48 Mins 47 Secs","moonriseLocal":"23:20","moonsetLocal":"12:48","rahuKala":{"name":"Rāhu Kāla","start":"16:15","end":"17:39","startHours":16.244449663010762,"endHours":17.64282619367819,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:03","end":"13:27","startHours":12.049320071008477,"endHours":13.447696601675906,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:51","end":"16:15","startHours":14.846073132343335,"endHours":16.244449663010762,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:26","startHours":9.066116805584631,"endHours":9.439017213762613,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:55","end":"07:13","startHours":6.9219394585612415,"endHours":7.220259785103626,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:25","startHours":11.676419662830495,"endHours":12.422220479186459,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:58","end":"05:43","startHours":4.964212315626843,"endHours":5.710013131982804,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:31","end":"06:27","startHours":5.523562927893813,"endHours":6.455813948338766,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:40","startHours":13.913822111898382,"endHours":14.659622928254343,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:27","end":"17:51","startHours":17.44282619367819,"endHours":17.84282619367819,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:39","end":"18:07","startHours":17.64282619367819,"endHours":18.108951703900665,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:24","end":"19:09","startHours":17.39282619367819,"endHours":19.14282619367819,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:25","startHours":23.676419662830497,"endHours":24.422220479186457,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:27","end":"07:51","startHours":6.455813948338766,"endHours":7.854190479006194,"quality":"inauspicious"},{"name":"Chala","start":"07:51","end":"09:15","startHours":7.854190479006194,"endHours":9.252567009673623,"quality":"neutral"},{"name":"Labha","start":"09:15","end":"10:39","startHours":9.252567009673623,"endHours":10.65094354034105,"quality":"auspicious"},{"name":"Amṛta","start":"10:39","end":"12:03","startHours":10.65094354034105,"endHours":12.049320071008477,"quality":"auspicious"},{"name":"Kāla","start":"12:03","end":"13:27","startHours":12.049320071008477,"endHours":13.447696601675906,"quality":"inauspicious"},{"name":"Śubha","start":"13:27","end":"14:51","startHours":13.447696601675906,"endHours":14.846073132343335,"quality":"auspicious"},{"name":"Roga","start":"14:51","end":"16:15","startHours":14.846073132343335,"endHours":16.244449663010762,"quality":"inauspicious"},{"name":"Udveg","start":"16:15","end":"17:39","startHours":16.244449663010762,"endHours":17.64282619367819,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:39","end":"19:15","startHours":17.64282619367819,"endHours":19.244449663010762,"quality":"auspicious"},{"name":"Roga","start":"19:15","end":"20:51","startHours":19.244449663010762,"endHours":20.846073132343335,"quality":"inauspicious"},{"name":"Udveg","start":"20:51","end":"22:27","startHours":20.846073132343335,"endHours":22.447696601675904,"quality":"inauspicious"},{"name":"Chala","start":"22:27","end":"00:03","startHours":22.447696601675904,"endHours":24.049320071008477,"quality":"neutral"},{"name":"Labha","start":"00:03","end":"01:39","startHours":24.049320071008477,"endHours":25.65094354034105,"quality":"auspicious"},{"name":"Amṛta","start":"01:39","end":"03:15","startHours":25.65094354034105,"endHours":27.25256700967362,"quality":"auspicious"},{"name":"Kāla","start":"03:15","end":"04:51","startHours":27.25256700967362,"endHours":28.854190479006192,"quality":"inauspicious"},{"name":"Śubha","start":"04:51","end":"06:27","startHours":28.854190479006192,"endHours":30.455813948338765,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:27","end":"07:27","startHours":6.455813948338766,"endHours":7.455813948338766,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:27","end":"08:27","startHours":7.455813948338766,"endHours":8.455813948338765,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:27","end":"09:27","startHours":8.455813948338765,"endHours":9.455813948338765,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:27","end":"10:27","startHours":9.455813948338765,"endHours":10.455813948338765,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:27","end":"11:27","startHours":10.455813948338765,"endHours":11.455813948338765,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:27","end":"12:27","startHours":11.455813948338765,"endHours":12.455813948338765,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:27","end":"13:27","startHours":12.455813948338765,"endHours":13.455813948338765,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:27","end":"14:27","startHours":13.455813948338765,"endHours":14.455813948338765,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:27","end":"15:27","startHours":14.455813948338765,"endHours":15.455813948338765,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:27","end":"16:27","startHours":15.455813948338765,"endHours":16.455813948338765,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:27","end":"17:27","startHours":16.455813948338765,"endHours":17.455813948338765,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:27","end":"18:27","startHours":17.455813948338765,"endHours":18.455813948338765,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:27","end":"19:27","startHours":18.455813948338765,"endHours":19.455813948338765,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:27","end":"20:27","startHours":19.455813948338765,"endHours":20.455813948338765,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:27","end":"21:27","startHours":20.455813948338765,"endHours":21.455813948338765,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:27","end":"22:27","startHours":21.455813948338765,"endHours":22.455813948338765,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:27","end":"23:27","startHours":22.455813948338765,"endHours":23.455813948338765,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:27","end":"00:27","startHours":23.455813948338765,"endHours":24.455813948338765,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:27","end":"01:27","startHours":24.455813948338765,"endHours":25.455813948338765,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:27","end":"02:27","startHours":25.455813948338765,"endHours":26.455813948338765,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:27","end":"03:27","startHours":26.455813948338765,"endHours":27.455813948338765,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:27","end":"04:27","startHours":27.455813948338765,"endHours":28.455813948338765,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:27","end":"05:27","startHours":28.455813948338765,"endHours":29.455813948338765,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:27","end":"06:27","startHours":29.455813948338765,"endHours":30.455813948338765,"planetary_lord":"Jupiter"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-13.265740254194778,"eotMinutes":16.40359573949132,"ayanamsa":24.4233}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Aṣṭamī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[],"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","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 October 28, 2040 CE · Vṛndāvana · Vidhyamitra","description":"October 28, 2040 CE for Vṛndāvana: Kṛṣṇa Aṣṭamī, sūryodaya 06:27, sūryāsta 17:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2040-10-28","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2040-10-28","sa":"https://sa.vidhyamitra.com/city/vrindavan/2040-10-28","hi":"https://hi.vidhyamitra.com/city/vrindavan/2040-10-28","x-default":"https://vidhyamitra.com/city/vrindavan/2040-10-28"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T10:58:47.797Z","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":"2026-06-01T10:58:47.797Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T10:58:47.797Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}