{"id":"vidhyamitra:city-day:berlin:2024-10-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2024-10-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2024-10-31","date_display":"October 31, 2024 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":2024,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460614.770833,"kali_year":5126,"ahargana":1872149.2708,"sun":{"sidereal_longitude":193.164,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":176.5385,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":343.3745,"elapsed_within_tithi_degrees":7.3745},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":176.5385,"elapsed_within_degrees":3.2051},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.7024},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2024,"month":10,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2460614.770833,"ahargana":1872149.2708,"kali_year":5126,"ayanamsa_lahiri":24.1999,"grahas":{"sun":{"sidereal_longitude":193.91127800000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":177.74957799999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false,"latitude":-0.9359},"mars":{"sidereal_longitude":93.99527799999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":211.56017799999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":56.33197799999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":231.424078,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":318.792278,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":344.5222,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":164.5222,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":2024,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460614.770833,"kali_year":5126,"ahargana":1872149.2708,"sun":{"sidereal_longitude":193.164,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":176.5385,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":343.3745,"elapsed_within_tithi_degrees":7.3745},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":176.5385,"elapsed_within_degrees":3.2051},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.7024},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.936,"elongation":16.625},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.936,"opposition_distance":163.375}},"eclipse_window_40days":[]},"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"tier2":{"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"sunriseLocal":"07:01","sunsetLocal":"16:39","solarNoonLocal":"11:50","dayLengthHours":9.627427261014873,"dayLengthDisplay":"9 Hours 37 Mins 39 Secs","nightLengthDisplay":"14 Hours 22 Mins 21 Secs","moonriseLocal":"05:27","moonsetLocal":"16:04","rahuKala":{"name":"Rāhu Kāla","start":"13:02","end":"14:14","startHours":13.03554874845139,"endHours":14.23897715607825,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:01","end":"08:13","startHours":7.018406710317094,"endHours":8.221835117943954,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:26","end":"10:38","startHours":9.425263525570813,"endHours":10.628691933197672,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:16","end":"09:35","startHours":9.264806404553898,"endHours":9.585720646587726,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:25","end":"07:41","startHours":7.41954951285938,"endHours":7.6762809064864435,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:09","startHours":11.511206098790701,"endHours":12.15303458285836,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:23","startHours":5.734749742181777,"endHours":6.3765782262494355,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:01","startHours":6.216121105232521,"endHours":7.018406710317094,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:26","end":"14:05","startHours":13.436691550993675,"endHours":14.078520035061333,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:27","end":"16:51","startHours":16.445833971331968,"endHours":16.845833971331967,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:39","end":"17:03","startHours":16.645833971331967,"endHours":17.046976773874253,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:24","end":"18:09","startHours":16.395833971331967,"endHours":18.145833971331967,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:09","startHours":23.5112060987907,"endHours":24.15303458285836,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:01","end":"08:13","startHours":7.018406710317094,"endHours":8.221835117943954,"quality":"auspicious"},{"name":"Roga","start":"08:13","end":"09:26","startHours":8.221835117943954,"endHours":9.425263525570813,"quality":"inauspicious"},{"name":"Udveg","start":"09:26","end":"10:38","startHours":9.425263525570813,"endHours":10.628691933197672,"quality":"inauspicious"},{"name":"Chala","start":"10:38","end":"11:50","startHours":10.628691933197672,"endHours":11.832120340824531,"quality":"neutral"},{"name":"Labha","start":"11:50","end":"13:02","startHours":11.832120340824531,"endHours":13.03554874845139,"quality":"auspicious"},{"name":"Amṛta","start":"13:02","end":"14:14","startHours":13.03554874845139,"endHours":14.23897715607825,"quality":"auspicious"},{"name":"Kāla","start":"14:14","end":"15:27","startHours":14.23897715607825,"endHours":15.442405563705108,"quality":"inauspicious"},{"name":"Śubha","start":"15:27","end":"16:39","startHours":15.442405563705108,"endHours":16.645833971331967,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"16:39","end":"18:27","startHours":16.645833971331967,"endHours":18.44240556370511,"quality":"auspicious"},{"name":"Kāla","start":"18:27","end":"20:14","startHours":18.44240556370511,"endHours":20.23897715607825,"quality":"inauspicious"},{"name":"Śubha","start":"20:14","end":"22:02","startHours":20.23897715607825,"endHours":22.03554874845139,"quality":"auspicious"},{"name":"Roga","start":"22:02","end":"23:50","startHours":22.03554874845139,"endHours":23.83212034082453,"quality":"inauspicious"},{"name":"Udveg","start":"23:50","end":"01:38","startHours":23.83212034082453,"endHours":25.628691933197672,"quality":"inauspicious"},{"name":"Chala","start":"01:38","end":"03:26","startHours":25.628691933197672,"endHours":27.425263525570813,"quality":"neutral"},{"name":"Labha","start":"03:26","end":"05:13","startHours":27.425263525570813,"endHours":29.221835117943954,"quality":"auspicious"},{"name":"Amṛta","start":"05:13","end":"07:01","startHours":29.221835117943954,"endHours":31.018406710317095,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:01","end":"08:01","startHours":7.018406710317094,"endHours":8.018406710317095,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:01","end":"09:01","startHours":8.018406710317095,"endHours":9.018406710317095,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:01","end":"10:01","startHours":9.018406710317095,"endHours":10.018406710317095,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:01","end":"11:01","startHours":10.018406710317095,"endHours":11.018406710317095,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:01","end":"12:01","startHours":11.018406710317095,"endHours":12.018406710317095,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:01","end":"13:01","startHours":12.018406710317095,"endHours":13.018406710317095,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:01","end":"14:01","startHours":13.018406710317095,"endHours":14.018406710317095,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:01","end":"15:01","startHours":14.018406710317095,"endHours":15.018406710317095,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:01","end":"16:01","startHours":15.018406710317095,"endHours":16.018406710317095,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:01","end":"17:01","startHours":16.018406710317095,"endHours":17.018406710317095,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:01","end":"18:01","startHours":17.018406710317095,"endHours":18.018406710317095,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:01","end":"19:01","startHours":18.018406710317095,"endHours":19.018406710317095,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:01","end":"20:01","startHours":19.018406710317095,"endHours":20.018406710317095,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:01","end":"21:01","startHours":20.018406710317095,"endHours":21.018406710317095,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:01","end":"22:01","startHours":21.018406710317095,"endHours":22.018406710317095,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:01","end":"23:01","startHours":22.018406710317095,"endHours":23.018406710317095,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:01","end":"00:01","startHours":23.018406710317095,"endHours":24.018406710317095,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:01","end":"01:01","startHours":24.018406710317095,"endHours":25.018406710317095,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:01","end":"02:01","startHours":25.018406710317095,"endHours":26.018406710317095,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:01","end":"03:01","startHours":26.018406710317095,"endHours":27.018406710317095,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:01","end":"04:01","startHours":27.018406710317095,"endHours":28.018406710317095,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:01","end":"05:01","startHours":28.018406710317095,"endHours":29.018406710317095,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:01","end":"06:01","startHours":29.018406710317095,"endHours":30.018406710317095,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:01","end":"07:01","startHours":30.018406710317095,"endHours":31.018406710317095,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-14.209980634686854,"eotMinutes":16.45277955052819,"ayanamsa":24.1999}},"calendars":{"vikram_samvat":2081,"vikram_samvatsara":"Piṅgala","saka_samvat":1946,"saka_samvatsara":"Krodhi","bengali_samvat":1431,"malayalam_era":1200,"nanakshahi_year":555,"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 Caturdaśī · Vikram 2081 Piṅgala · Śaka 1946 Krodhi"},"festivals":[{"id":"naraka-chaturdashi","name":"Naraka Caturdaśī (Choṭī Diwālī)","name_sanskrit":"नरक चतुर्दशी","tradition":"Vaishnava","associated_deity":"Krishna (Narakāsura-vadha)","significance":"Krishna slew Narakāsura, freeing 16,000 captive princesses. Day 2 of Diwali.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":2,"sources":["Bhāgavata 10.59"]},{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Dedicated festival walk for Naraka Caturdaśī (Choṭī Diwālī) · Māsika Śivarātri is not live yet; Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"berlin"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 31, 2024 CE · Berlin, Germany · Vidhyamitra","description":"October 31, 2024 CE for Berlin, Germany: Kṛṣṇa Caturdaśī, sūryodaya 07:01, sūryāsta 16:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2024-10-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2024-10-31","sa":"https://sa.vidhyamitra.com/city/berlin/2024-10-31","hi":"https://hi.vidhyamitra.com/city/berlin/2024-10-31","x-default":"https://vidhyamitra.com/city/berlin/2024-10-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-07-26T08:11:11.343Z","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":"2026-07-26T08:11:11.343Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-07-26T08:11:11.343Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no founder-city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","Divyāṁśa-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}